# bibtab

bibtype: article
filename: elefunt.bib
label: Moon:1981:AFC
author: Wooil Moon
title: Airy function with complex arguments
journal: j-COMP-PHYS-COMM
volume: 22
number: 4
pages: 411--417
month: may
monthnumber: 5
year: 1981
CODEN: CPHCBZ
DOI: https://doi.org/10.1016/0010-4655(81)90138-7
ISSN: 0010-4655 (print), 1879-2944 (electronic) OR 00104655 (print), 18792944 (electronic)
ISSNL: 0010-4655 OR 00104655
bibdate: Mon Feb 13 09:27:06 MST 2012
bibtimestamp: 2012.02.13 09:27:06 MST
URL: http://www.sciencedirect.com/science/article/pii/0010465581901387
fjournal: Computer Physics Communications
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00104655
rawauthor: Wooil Moon
rawtitle: {Airy} function with complex arguments
bibsource:
https://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib

entry:
@Article{Moon:1981:AFC,
  author =       "Wooil Moon",
  title =        "{Airy} function with complex arguments",
  journal =      j-COMP-PHYS-COMM,
  volume =       "22",
  number =       "4",
  pages =        "411--417",
  month =        may,
  year =         "1981",
  CODEN =        "CPHCBZ",
  DOI =          "https://doi.org/10.1016/0010-4655(81)90138-7",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Mon Feb 13 09:27:06 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0010465581901387",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}


bibtype: techreport
filename: elefunt.bib
label: Morris:1981:NDL
author: Alfred H. Morris, Jr.
title: NSWC / DL Library of Mathematics Subroutines
type: Report
number: NSWC/TR-79-338
institution: Naval Surface Warfare Center
address: Dahlgren, VA 22448-5000, USA; Silver Spring, MD 20903-5000, USA
pages: 235
year: 1981
bibdate: Tue Jun 13 08:47:19 2023
bibtimestamp: 2023.06.13 08:47:19 ???
note: See also later editions cite Morris:1990:NLM,Morris:1993:NLM.
URL: https://ntrl.ntis.gov/NTRL/dashboard/searchResults/titleDetail/ADA108106.xhtml
acknowledgement: ack-nhfb
rawauthor: Alfred H. {Morris, Jr.}
rawnote: See also later editions \cite{Morris:1990:NLM,Morris:1993:NLM}.
rawtitle: {NSWC\slash DL} Library of Mathematics Subroutines
bibsource:
https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fortran2.bib

abstract:
The NSWC/DL library is a library of general-purpose FORTRAN subroutines that provide a basic computational capability in a variety of mathematical activities. Although intended for use on the CDC 6000 series computers, emphasis has been placed on the transportability of the codes. Subroutines are available in the following areas: Elementary Operations, Geometry, Special Functions, Polynomials, Solutions of Nonlinear Equations, Vectors, Matrices, Sparse Matrices, Eigenvalues and Eigenvectors, Least Squares Solutions of Linear Equations, Optimization, Transforms, Approximation of Functions, Curve Fitting, Surface Fitting over Rectangular Grids, Surface Fitting over Arbitrarily Positioned Data Points, Numerical Integration, Ordinary Differential Equations/Initial Value Problems, and Random Number Generation.

rawabstract:
The NSWC/DL library is a library of general-purpose FORTRAN subroutines that provide a basic computational capability in a variety of mathematical activities. Although intended for use on the CDC 6000 series computers, emphasis has been placed on the transportability of the codes. Subroutines are available in the following areas: Elementary Operations, Geometry, Special Functions, Polynomials, Solutions of Nonlinear Equations, Vectors, Matrices, Sparse Matrices, Eigenvalues and Eigenvectors, Least Squares Solutions of Linear Equations, Optimization, Transforms, Approximation of Functions, Curve Fitting, Surface Fitting over Rectangular Grids, Surface Fitting over Arbitrarily Positioned Data Points, Numerical Integration, Ordinary Differential Equations/Initial Value Problems, and Random Number Generation.

entry:
@TechReport{Morris:1981:NDL,
  author =       "Alfred H. {Morris, Jr.}",
  title =        "{NSWC\slash DL} Library of Mathematics Subroutines",
  type =         "Report",
  number =       "NSWC/TR-79-338",
  institution =  "Naval Surface Warfare Center",
  address =      "Dahlgren, VA 22448-5000, USA; Silver Spring, MD
                 20903-5000, USA",
  pages =        "235",
  year =         "1981",
  bibdate =      "Tue Jun 13 08:47:19 2023",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/fortran2.bib",
  note =         "See also later editions
                 \cite{Morris:1990:NLM,Morris:1993:NLM}.",
  URL =          "https://ntrl.ntis.gov/NTRL/dashboard/searchResults/titleDetail/ADA108106.xhtml",
  abstract =     "The NSWC/DL library is a library of general-purpose
                 FORTRAN subroutines that provide a basic computational
                 capability in a variety of mathematical activities.
                 Although intended for use on the CDC 6000 series
                 computers, emphasis has been placed on the
                 transportability of the codes. Subroutines are
                 available in the following areas: Elementary
                 Operations, Geometry, Special Functions, Polynomials,
                 Solutions of Nonlinear Equations, Vectors, Matrices,
                 Sparse Matrices, Eigenvalues and Eigenvectors, Least
                 Squares Solutions of Linear Equations, Optimization,
                 Transforms, Approximation of Functions, Curve Fitting,
                 Surface Fitting over Rectangular Grids, Surface Fitting
                 over Arbitrarily Positioned Data Points, Numerical
                 Integration, Ordinary Differential Equations/Initial
                 Value Problems, and Random Number Generation.",
  acknowledgement = ack-nhfb,
}


bibtype: inproceedings
filename: elefunt.bib
label: Peng:1981:AES
author: Hong Peng
title: Algorithms for extracting square roots and cube roots
crossref: IEEE:1981:PSC
pages: 121--126
year: 1981
bibdate: Thu Sep 01 11:37:17 1994
bibtimestamp: 1994.09.01 11:37:17 ???
URL: http://www.acsel-lab.com/arithmetic/arith5/papers/ARITH5_Peng.pdf
keywords: ARITH-5
acknowledgement: ack-nj
rawauthor: Hong Peng
rawtitle: Algorithms for extracting square roots and cube roots
abstract:
This paper describes a kind of algorithms for fast extracting square roots and cube roots, their mathematical proofs, their revised algorithm formulae, and hardware implementation of the square root algorithm. These algorithms may be of no significance for large scale computer with fast division. But I am sure that it is effective and economical to apply these algorithms to the circuit designs of some mini- and microcomputers with general multiplication and division, such as nonrestoring division.

rawabstract:
This paper describes a kind of algorithms for fast extracting square roots and cube roots, their mathematical proofs, their revised algorithm formulae, and hardware implementation of the square root algorithm. These algorithms may be of no significance for large scale computer with fast division. But I am sure that it is effective and economical to apply these algorithms to the circuit designs of some mini- and microcomputers with general multiplication and division, such as nonrestoring division.

entry:
@InProceedings{Peng:1981:AES,
  author =       "Hong Peng",
  title =        "Algorithms for extracting square roots and cube
                 roots",
  crossref =     "IEEE:1981:PSC",
  pages =        "121--126",
  year =         "1981",
  bibdate =      "Thu Sep 01 11:37:17 1994",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  URL =          "http://www.acsel-lab.com/arithmetic/arith5/papers/ARITH5_Peng.pdf",
  abstract =     "This paper describes a kind of algorithms for fast
                 extracting square roots and cube roots, their
                 mathematical proofs, their revised algorithm formulae,
                 and hardware implementation of the square root
                 algorithm. These algorithms may be of no significance
                 for large scale computer with fast division. But I am
                 sure that it is effective and economical to apply these
                 algorithms to the circuit designs of some mini- and
                 microcomputers with general multiplication and
                 division, such as nonrestoring division.",
  acknowledgement = ack-nj,
  keywords =     "ARITH-5",
}


bibtype: article
filename: elefunt.bib
label: Razaz:1981:RAF
author: M. Razaz and J. L. Schonfelder
title: Remark on ``Algorithm 498: Airy Functions Using Chebyshev Series Approximations''
journal: j-TOMS
volume: 7
number: 3
pages: 404--405
month: sep
monthnumber: 9
year: 1981
CODEN: ACMSCU
DOI: https://doi.org/10.1145/355958.355971
ISSN: 0098-3500 (print), 1557-7295 (electronic) OR 00983500 (print), 15577295 (electronic)
ISSNL: 0098-3500 OR 00983500
bibdate: Tue Aug 30 00:28:07 1994
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 1994.08.30 00:28:07 ???
note: See cite Prince:1975:AAF.
fjournal: ACM Transactions on Mathematical Software (TOMS)
acknowledgement: ack-nhfb
journalURL: https://dl.acm.org/loi/toms
rawauthor: M. Razaz and J. L. Schonfelder
rawnote: See \cite{Prince:1975:AAF}.
rawtitle: Remark on ``{Algorithm} 498: {Airy} Functions Using {Chebyshev} Series Approximations''
entry:
@Article{Razaz:1981:RAF,
  author =       "M. Razaz and J. L. Schonfelder",
  title =        "Remark on ``{Algorithm} 498: {Airy} Functions Using
                 {Chebyshev} Series Approximations''",
  journal =      j-TOMS,
  volume =       "7",
  number =       "3",
  pages =        "404--405",
  month =        sep,
  year =         "1981",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/355958.355971",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Tue Aug 30 00:28:07 1994",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See \cite{Prince:1975:AAF}.",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
  journal-URL =  "https://dl.acm.org/loi/toms",
}


bibtype: article
filename: elefunt.bib
label: Schulten:1981:NAE
author: Z. Schulten and R. G. Gordon and D. G. M. Anderson
journal: j-J-COMPUT-PHYS
volume: 42
number: 2
pages: 213--237
month: aug
monthnumber: 8
year: 1981
CODEN: JCTPAH
DOI: https://doi.org/10.1016/0021-9991(81)90241-2
ISSN: 0021-9991 (print), 1090-2716 (electronic) OR 00219991 (print), 10902716 (electronic)
ISSNL: 0021-9991 OR 00219991
bibdate: Sun Jan 1 15:59:07 MST 2012
bibtimestamp: 2012.01.01 15:59:07 MST
URL: http://www.sciencedirect.com/science/article/pii/0021999181902412
fjournal: Journal of Computational Physics
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00219991/
rawauthor: Z. Schulten and R. G. Gordon and D. G. M. Anderson
title:
A numerical algorithm for the evaluation of Weber parabolic cylinder functions $ U(a, x) $, $ V(a, x) $, and $ W(a, pm x) $

rawtitle:
A numerical algorithm for the evaluation of {Weber} parabolic cylinder functions {$ U(a, x) $}, {$ V(a, x) $}, and {$ W(a, \pm x) $}

entry:
@Article{Schulten:1981:NAE,
  author =       "Z. Schulten and R. G. Gordon and D. G. M. Anderson",
  title =        "A numerical algorithm for the evaluation of {Weber}
                 parabolic cylinder functions {$ U(a, x) $}, {$ V(a, x)
                 $}, and {$ W(a, \pm x) $}",
  journal =      j-J-COMPUT-PHYS,
  volume =       "42",
  number =       "2",
  pages =        "213--237",
  month =        aug,
  year =         "1981",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1016/0021-9991(81)90241-2",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 15:59:07 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999181902412",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991/",
}


bibtype: article
filename: elefunt.bib
label: Shepherd:1981:CA
author: M. M. Shepherd and J. G. Laframboise
title: Chebyshev Approximation of $ (1 + 2 x) exp (x^2) erfc (x) $ in $ 0 leq x < infty $
journal: j-MATH-COMPUT
volume: 36
number: 153
pages: 249--253
month: jan
monthnumber: 1
year: 1981
CODEN: MCMPAF
ISSN: 0025-5718 (print), 1088-6842 (electronic) OR 00255718 (print), 10886842 (electronic)
ISSNL: 0025-5718 OR 00255718
MRclass: 65D20
MRnumber: 83c:65029
MRreviewer: John P. Coleman
bibdate: Tue Oct 13 08:06:19 MDT 1998
bibtimestamp: 1998.10.13 08:06:19 MDT
fjournal: Mathematics of Computation
keywords: (1+2x)exp(x/sup 2/)erfc x; Chebyshev approximation; Chebyshev expansion; erfc x; single
acknowledgement: ack-nhfb
classcodes: C4130 (Interpolation and function approximation)
corpsource: York Univ., Toronto, Ont., Canada
journalURL: http://www.ams.org/mcom/
treatment: T Theoretical or Mathematical
rawauthor: M. M. Shepherd and J. G. Laframboise
rawtitle: {Chebyshev} Approximation of $ (1 + 2 x) \exp (x^2) \erfc (x) $ in $ 0 \leq x < \infty $
bibsource:
https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database

entry:
@Article{Shepherd:1981:CA,
  author =       "M. M. Shepherd and J. G. Laframboise",
  title =        "{Chebyshev} Approximation of $ (1 + 2 x) \exp (x^2)
                 \erfc (x) $ in $ 0 \leq x < \infty $",
  journal =      j-MATH-COMPUT,
  volume =       "36",
  number =       "153",
  pages =        "249--253",
  month =        jan,
  year =         "1981",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65D20",
  MRnumber =     "83c:65029",
  MRreviewer =   "John P. Coleman",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "C4130 (Interpolation and function approximation)",
  corpsource =   "York Univ., Toronto, Ont., Canada",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "(1+2x)exp(x/sup 2/)erfc x; Chebyshev approximation;
                 Chebyshev expansion; erfc x; single",
  treatment =    "T Theoretical or Mathematical",
}


bibtype: article
filename: elefunt.bib
label: Smith:1981:ERA
author: J. M. Smith and F. W. J. Olver and D. W. Lozier
title: Extended-Range Arithmetic and Normalized Legendre Polynomials
journal: j-TOMS
volume: 7
number: 1
pages: 93--105
month: mar
monthnumber: 3
year: 1981
CODEN: ACMSCU
ISSN: 0098-3500 (print), 1557-7295 (electronic) OR 00983500 (print), 15577295 (electronic)
ISSNL: 0098-3500 OR 00983500
MRclass: 65D20 (65G05)
MRnumber: 83a:65017
bibdate: Mon Aug 29 22:02:12 1994
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 1994.08.29 22:02:12 ???
URL: http://doi.acm.org/10.1145/355934.355940
fjournal: ACM Transactions on Mathematical Software (TOMS)
keywords: angular momentum; extended-range arithmetic; Legendre polynomials; overflow; underflow
acknowledgement: ack-nhfb
journalURL: https://dl.acm.org/loi/toms
rawauthor: J. M. Smith and F. W. J. Olver and D. W. Lozier
rawtitle: Extended-Range Arithmetic and Normalized {Legendre} Polynomials
entry:
@Article{Smith:1981:ERA,
  author =       "J. M. Smith and F. W. J. Olver and D. W. Lozier",
  title =        "Extended-Range Arithmetic and Normalized {Legendre}
                 Polynomials",
  journal =      j-TOMS,
  volume =       "7",
  number =       "1",
  pages =        "93--105",
  month =        mar,
  year =         "1981",
  CODEN =        "ACMSCU",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  MRclass =      "65D20 (65G05)",
  MRnumber =     "83a:65017",
  bibdate =      "Mon Aug 29 22:02:12 1994",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://doi.acm.org/10.1145/355934.355940",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
  journal-URL =  "https://dl.acm.org/loi/toms",
  keywords =     "angular momentum; extended-range arithmetic; Legendre
                 polynomials; overflow; underflow",
}


bibtype: article
filename: elefunt.bib
label: Steinberg:1981:LSE
author: D. Steinberg and M. Rodeh
title: A layout for the shuffle-exchange network with $ O(N^2 / log ^3 / 2N) $ area
journal: j-IEEE-TRANS-COMPUT
volume: C-30
number: 12
pages: 977--982
month: dec
monthnumber: 12
year: 1981
CODEN: ITCOB4
DOI: https://doi.org/10.1109/TC.1981.1675738
ISSN: 0018-9340 (print), 1557-9956 (electronic) OR 00189340 (print), 15579956 (electronic)
ISSNL: 0018-9340 OR 00189340
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: IEEE Transactions on Computers
acknowledgement: ack-nhfb
ajournal: IEEE Trans. Comput.
journalURL: http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12
rawauthor: D. Steinberg and M. Rodeh
rawtitle: A layout for the shuffle-exchange network with {$ O(N^2 / \log^{3 / 2N}) $} area
subject:
C. Computer Systems Organization; C.1 PROCESSOR ARCHITECTURES; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS

entry:
@Article{Steinberg:1981:LSE,
  author =       "D. Steinberg and M. Rodeh",
  title =        "A layout for the shuffle-exchange network with {$
                 O(N^2 / \log^{3 / 2N}) $} area",
  journal =      j-IEEE-TRANS-COMPUT,
  volume =       "C-30",
  number =       "12",
  pages =        "977--982",
  month =        dec,
  year =         "1981",
  CODEN =        "ITCOB4",
  DOI =          "https://doi.org/10.1109/TC.1981.1675738",
  ISSN =         "0018-9340 (print), 1557-9956 (electronic)",
  ISSN-L =       "0018-9340",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "IEEE Trans. Comput.",
  catcode =      "C.1.2; G.1.2",
  CRclass =      "C.1.2 Multiple Data Stream Architectures
                 (Multiprocessors); C.1.2 Interconnection architectures;
                 G.1.2 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Computer Systems Organization, PROCESSOR
                 ARCHITECTURES, Multiple Data Stream Architectures
                 (Multiprocessors), Interconnection architectures;
                 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation",
  fjournal =     "IEEE Transactions on Computers",
  genterm =      "design",
  guideno =      "06519",
  journal-URL =  "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12",
  jrldate =      "Dec. 1981",
  subject =      "C. Computer Systems Organization; C.1 PROCESSOR
                 ARCHITECTURES; G. Mathematics of Computing; G.1
                 NUMERICAL ANALYSIS",
}


bibtype: article
filename: elefunt.bib
label: Steinhardt:1981:ASF
author: Paul J. Steinhardt and P. Chaudhari
title: Airy stress function for atomic models
journal: j-J-COMPUT-PHYS
volume: 42
number: 2
pages: 266--276
month: aug
monthnumber: 8
year: 1981
CODEN: JCTPAH
DOI: https://doi.org/10.1016/0021-9991(81)90244-8
ISSN: 0021-9991 (print), 1090-2716 (electronic) OR 00219991 (print), 10902716 (electronic)
ISSNL: 0021-9991 OR 00219991
bibdate: Sun Jan 1 15:59:07 MST 2012
bibtimestamp: 2012.01.01 15:59:07 MST
URL: http://www.sciencedirect.com/science/article/pii/0021999181902448
fjournal: Journal of Computational Physics
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00219991/
rawauthor: Paul J. Steinhardt and P. Chaudhari
rawtitle: {Airy} stress function for atomic models
entry:
@Article{Steinhardt:1981:ASF,
  author =       "Paul J. Steinhardt and P. Chaudhari",
  title =        "{Airy} stress function for atomic models",
  journal =      j-J-COMPUT-PHYS,
  volume =       "42",
  number =       "2",
  pages =        "266--276",
  month =        aug,
  year =         "1981",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1016/0021-9991(81)90244-8",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 15:59:07 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999181902448",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991/",
}


bibtype: inproceedings
filename: elefunt.bib
label: Taylor:1981:CHD
author: George S. Taylor
title: Compatible hardware for division and square root
crossref: IEEE:1981:PSC
pages: 127--134
year: 1981
bibdate: Mon Sep 16 16:30:51 2002
bibtimestamp: 2002.09.16 16:30:51 ???
URL: http://www.acsel-lab.com/arithmetic/arith5/papers/ARITH5_Taylor.pdf
keywords: ARITH-5
acknowledgement: ack-nhfb
rawauthor: George S. Taylor
rawtitle: Compatible hardware for division and square root
abstract:
Hardware for radix four division and radix two square root is shared in a processor designed to implement the proposed IEEE floating-point standard. The division hardware looks ahead to find the next quotient digit in parallel with the next partial remainder. An 8-bit ALU estimates the next remainder's leading bits. The quotient digit look-up table is addressed with a truncation of the estimate rather than a truncation of the full partial remainder. The estimation ALU and the look-up table are asymmetric for positive and negative remainders. This asymmetry reduces the width of the ALU and the number of minterms in the logic equations for the look-up table. The square root algorithm obtains the correctly rounded result in about two division times using small extensions to the division hardware.

rawabstract:
Hardware for radix four division and radix two square root is shared in a processor designed to implement the proposed IEEE floating-point standard. The division hardware looks ahead to find the next quotient digit in parallel with the next partial remainder. An 8-bit ALU estimates the next remainder's leading bits. The quotient digit look-up table is addressed with a truncation of the estimate rather than a truncation of the full partial remainder. The estimation ALU and the look-up table are asymmetric for positive and negative remainders. This asymmetry reduces the width of the ALU and the number of minterms in the logic equations for the look-up table. The square root algorithm obtains the correctly rounded result in about two division times using small extensions to the division hardware.

entry:
@InProceedings{Taylor:1981:CHD,
  author =       "George S. Taylor",
  title =        "Compatible hardware for division and square root",
  crossref =     "IEEE:1981:PSC",
  pages =        "127--134",
  year =         "1981",
  bibdate =      "Mon Sep 16 16:30:51 2002",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  URL =          "http://www.acsel-lab.com/arithmetic/arith5/papers/ARITH5_Taylor.pdf",
  abstract =     "Hardware for radix four division and radix two square
                 root is shared in a processor designed to implement the
                 proposed IEEE floating-point standard. The division
                 hardware looks ahead to find the next quotient digit in
                 parallel with the next partial remainder. An 8-bit ALU
                 estimates the next remainder's leading bits. The
                 quotient digit look-up table is addressed with a
                 truncation of the estimate rather than a truncation of
                 the full partial remainder. The estimation ALU and the
                 look-up table are asymmetric for positive and negative
                 remainders. This asymmetry reduces the width of the ALU
                 and the number of minterms in the logic equations for
                 the look-up table. The square root algorithm obtains
                 the correctly rounded result in about two division
                 times using small extensions to the division
                 hardware.",
  acknowledgement = ack-nhfb,
  keywords =     "ARITH-5",
}


bibtype: article
filename: elefunt.bib
label: Temme:1981:ECH
author: N. M. Temme
title: On the expansion of confluent hypergeometric functions in terms of Bessel functions
journal: j-J-COMPUT-APPL-MATH
volume: 7
number: 1
pages: 27--32
month: mar
monthnumber: 3
year: 1981
CODEN: JCAMDI
ISSN: 0377-0427 (print), 1879-1778 (electronic) OR 03770427 (print), 18791778 (electronic)
ISSNL: 0377-0427 OR 03770427
bibdate: Sat Feb 25 11:59:21 MST 2017
bibtimestamp: 2017.02.25 11:59:21 MST
URL: http://www.sciencedirect.com/science/article/pii/0771050X81900048
fjournal: Journal of Computational and Applied Mathematics
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/03770427
rawauthor: N. M. Temme
rawtitle: On the expansion of confluent hypergeometric functions in terms of {Bessel} functions
bibsource:
https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/jcomputapplmath1980.bib

entry:
@Article{Temme:1981:ECH,
  author =       "N. M. Temme",
  title =        "On the expansion of confluent hypergeometric functions
                 in terms of {Bessel} functions",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "7",
  number =       "1",
  pages =        "27--32",
  month =        mar,
  year =         "1981",
  CODEN =        "JCAMDI",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  bibdate =      "Sat Feb 25 11:59:21 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputapplmath1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0771050X81900048",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}


bibtype: article
filename: elefunt.bib
label: Terras:1981:ASI
author: Riho Terras
title: Algorithms for some integrals of Bessel functions and multivariate Gaussian integrals
journal: j-J-COMPUT-PHYS
volume: 41
number: 1
pages: 192--199
month: may
monthnumber: 5
year: 1981
CODEN: JCTPAH
DOI: https://doi.org/10.1016/0021-9991(81)90087-5
ISSN: 0021-9991 (print), 1090-2716 (electronic) OR 00219991 (print), 10902716 (electronic)
ISSNL: 0021-9991 OR 00219991
bibdate: Sun Jan 1 15:59:06 MST 2012
bibtimestamp: 2012.01.01 15:59:06 MST
URL: http://www.sciencedirect.com/science/article/pii/0021999181900875
fjournal: Journal of Computational Physics
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00219991/
rawauthor: Riho Terras
rawtitle: Algorithms for some integrals of {Bessel} functions and multivariate {Gaussian} integrals
entry:
@Article{Terras:1981:ASI,
  author =       "Riho Terras",
  title =        "Algorithms for some integrals of {Bessel} functions
                 and multivariate {Gaussian} integrals",
  journal =      j-J-COMPUT-PHYS,
  volume =       "41",
  number =       "1",
  pages =        "192--199",
  month =        may,
  year =         "1981",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1016/0021-9991(81)90087-5",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 15:59:06 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999181900875",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991/",
}


bibtype: article
filename: elefunt.bib
label: Terras:1981:MAI
author: Riho Terras
title: A Miller algorithm for an incomplete Bessel function
journal: j-J-COMPUT-PHYS
volume: 39
number: 1
pages: 233--240
month: jan
monthnumber: 1
year: 1981
CODEN: JCTPAH
DOI: https://doi.org/10.1016/0021-9991(81)90147-9
ISSN: 0021-9991 (print), 1090-2716 (electronic) OR 00219991 (print), 10902716 (electronic)
ISSNL: 0021-9991 OR 00219991
bibdate: Sun Jan 1 15:59:04 MST 2012
bibtimestamp: 2012.01.01 15:59:04 MST
URL: http://www.sciencedirect.com/science/article/pii/0021999181901479
fjournal: Journal of Computational Physics
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00219991/
rawauthor: Riho Terras
rawtitle: A {Miller} algorithm for an incomplete {Bessel} function
entry:
@Article{Terras:1981:MAI,
  author =       "Riho Terras",
  title =        "A {Miller} algorithm for an incomplete {Bessel}
                 function",
  journal =      j-J-COMPUT-PHYS,
  volume =       "39",
  number =       "1",
  pages =        "233--240",
  month =        jan,
  year =         "1981",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1016/0021-9991(81)90147-9",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 15:59:04 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999181901479",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991/",
}


bibtype: article
filename: elefunt.bib
label: Vogelius:1981:DRM
author: M. Vogelius and I. Babuska
title: On a dimensional reduction method. II. Some approximation-theoretic results
journal: j-MATH-COMPUT
volume: 37
number: 155
pages: 47--68
month: jul
monthnumber: 7
year: 1981
CODEN: MCMPAF
ISSN: 0025-5718 (print), 1088-6842 (electronic) OR 00255718 (print), 10886842 (electronic)
ISSNL: 0025-5718 OR 00255718
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: Mathematics of Computation
acknowledgement: ack-nhfb
journalURL: http://www.ams.org/mcom/
rawauthor: M. Vogelius and I. Babuska
rawtitle: On a dimensional reduction method. {II}. {Some} approximation-theoretic results
subject:
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS

entry:
@Article{Vogelius:1981:DRM,
  author =       "M. Vogelius and I. Babuska",
  title =        "On a dimensional reduction method. {II}. {Some}
                 approximation-theoretic results",
  journal =      j-MATH-COMPUT,
  volume =       "37",
  number =       "155",
  pages =        "47--68",
  month =        jul,
  year =         "1981",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  catcode =      "G.1.2; G.1.7",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation; G.1.7 Ordinary Differential Equations;
                 G.1.7 Boundary value problems",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary
                 Differential Equations, Boundary value problems",
  fjournal =     "Mathematics of Computation",
  genterm =      "theory",
  guideno =      "09396",
  journal-URL =  "http://www.ams.org/mcom/",
  jrldate =      "July 1981",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}


bibtype: book
filename: elefunt.bib
label: Wimp:1981:STT
author: Jet Wimp
title: Sequence Transformations and Their Applications
volume: 154
publisher: pub-ACADEMIC
address: pub-ACADEMIC:adr
pages: xix + 257
year: 1981
ISBN: 0-08-095662-9 (e-book), 0-12-757940-0 OR 0080956629 (ebook), 0127579400
ISBN13: 978-0-08-095662-6 (e-book), 978-0-12-757940-5 OR 9780080956626 (ebook), 9780127579405
LCCN: QA292 .W54
bibdate: Thu Dec 1 11:08:47 MST 2011
bibsource: fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2011.12.01 11:08:47 MST
series: Mathematics in Science and Engineering
URL: http://public.eblib.com/EBLPublic/PublicView.do?ptiID=453177
acknowledgement: ack-nhfb
rawauthor: Jet Wimp
rawtitle: Sequence Transformations and Their Applications
subject:
Sequences (Mathematics) Transformations (Mathematics) Numerical analysis; Acceleration of convergence

TOC:
Front Cover Sequence Transformations and Their Applications Copyright Page Contents Preface Acknowledgments Notation Chapter 1. Sequences and Series Chapter 2. Linear Transformations Chapter 3. Linear Lozenge Methods Chapter 4. Optimal Methods and Methods Based on Power Series Chapter 5. Nonlinear Lozenges Iteration Sequences Chapter 6. The Schmidt Transformation The e-Algorithm Chapter 7. Aitken's $d^2$-Process and Related Methods Chapter 8. Lozenge Algorithms and the Theory of Continued Fractions Chapter 9. Other Lozenge Algorithms and Nonlinear MethodsChapter 10. The Brezinski--Haa vie ProtocolChapter 11. The Brezinski--Haa vie Protocol and Numerical Quadrature Chapter 12. Probabilistic Methods Chapter 13. Multiple Sequences Appendix Bibliography Index

rawTOC:
Front Cover \\ Sequence Transformations and Their Applications \\ Copyright Page \\ Contents \\ Preface \\ Acknowledgments \\ Notation \\ Chapter 1. Sequences and Series \\ Chapter 2. Linear Transformations \\ Chapter 3. Linear Lozenge Methods \\ Chapter 4. Optimal Methods and Methods Based on Power Series \\ Chapter 5. Nonlinear Lozenges \\ Iteration Sequences \\ Chapter 6. The Schmidt Transformation \\ The e-Algorithm \\ Chapter 7. Aitken's $d^2$-Process and Related Methods \\ Chapter 8. Lozenge Algorithms and the Theory of Continued Fractions \\ Chapter 9. Other Lozenge Algorithms and Nonlinear MethodsChapter 10. The Brezinski--H{\aa}vie ProtocolChapter 11. The Brezinski--H{\aa}vie Protocol and Numerical Quadrature \\ Chapter 12. Probabilistic Methods \\ Chapter 13. Multiple Sequences \\ Appendix \\ Bibliography \\ Index

entry:
@Book{Wimp:1981:STT,
  author =       "Jet Wimp",
  title =        "Sequence Transformations and Their Applications",
  volume =       "154",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  pages =        "xix + 257",
  year =         "1981",
  ISBN =         "0-08-095662-9 (e-book), 0-12-757940-0",
  ISBN-13 =      "978-0-08-095662-6 (e-book), 978-0-12-757940-5",
  LCCN =         "QA292 .W54",
  bibdate =      "Thu Dec 1 11:08:47 MST 2011",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  series =       "Mathematics in Science and Engineering",
  URL =          "http://public.eblib.com/EBLPublic/PublicView.do?ptiID=453177",
  acknowledgement = ack-nhfb,
  subject =      "Sequences (Mathematics) Transformations (Mathematics)
                 Numerical analysis; Acceleration of convergence",
  tableofcontents = "Front Cover \\
                 Sequence Transformations and Their Applications \\
                 Copyright Page \\
                 Contents \\
                 Preface \\
                 Acknowledgments \\
                 Notation \\
                 Chapter 1. Sequences and Series \\
                 Chapter 2. Linear Transformations \\
                 Chapter 3. Linear Lozenge Methods \\
                 Chapter 4. Optimal Methods and Methods Based on Power
                 Series \\
                 Chapter 5. Nonlinear Lozenges \\
                 Iteration Sequences \\
                 Chapter 6. The Schmidt Transformation \\
                 The e-Algorithm \\
                 Chapter 7. Aitken's $d^2$-Process and Related Methods
                 \\
                 Chapter 8. Lozenge Algorithms and the Theory of
                 Continued Fractions \\
                 Chapter 9. Other Lozenge Algorithms and Nonlinear
                 MethodsChapter 10. The Brezinski--H{\aa}vie
                 ProtocolChapter 11. The Brezinski--H{\aa}vie Protocol
                 and Numerical Quadrature \\
                 Chapter 12. Probabilistic Methods \\
                 Chapter 13. Multiple Sequences \\
                 Appendix \\
                 Bibliography \\
                 Index",
}


bibtype: article
filename: elefunt.bib
label: Andrews:1982:MMS
author: M. Andrews
title: Mathematical Microprocessor Software: a $ sqrt (x) $ Comparison
journal: j-IEEE-MICRO
volume: 2
number: 3
pages: 63--79
month: may
monthnumber: 5
year: 1982
CODEN: IEMIDZ
DOI: https://doi.org/10.1109/MM.1982.290970
ISSN: 0272-1732 (print), 1937-4143 (electronic) OR 02721732 (print), 19374143 (electronic)
ISSNL: 0272-1732 OR 02721732
bibdate: Thu Dec 14 06:08:58 MST 2000
bibtimestamp: 2000.12.14 06:08:58 MST
fjournal: IEEE Micro
acknowledgement: ack-nj
corpsource: Colorado State Univ., Fort Collins, CO, USA
journalURL: http://www.computer.org/csdl/mags/mi/index.html
treatment: T Theoretical or Mathematical
rawauthor: M. Andrews
rawtitle: Mathematical Microprocessor Software: a $ \sqrt (x) $ Comparison
bibsource:
ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/ieeemicro.bib; Science Citation Index database (1980--2000)

keywords:
16-bit machines; 8-bit machine; accuracy; Chen method; computer testing; Cordic method; direct method; function approximation; hardware; Intel 8080; Newton method; PDP-11/20; software requirements; speed; square-roots

classcodes:
C4130 (Interpolation and function approximation); C6150G (Diagnostic, testing, debugging and evaluating systems)

entry:
@Article{Andrews:1982:MMS,
  author =       "M. Andrews",
  title =        "Mathematical Microprocessor Software: a $ \sqrt (x) $
                 Comparison",
  journal =      j-IEEE-MICRO,
  volume =       "2",
  number =       "3",
  pages =        "63--79",
  month =        may # "\slash " # jun,
  year =         "1982",
  CODEN =        "IEMIDZ",
  DOI =          "https://doi.org/10.1109/MM.1982.290970",
  ISSN =         "0272-1732 (print), 1937-4143 (electronic)",
  ISSN-L =       "0272-1732",
  bibdate =      "Thu Dec 14 06:08:58 MST 2000",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 https://www.math.utah.edu/pub/tex/bib/ieeemicro.bib;
                 Science Citation Index database (1980--2000)",
  acknowledgement = ack-nj # " and " # ack-nhfb,
  classcodes =   "C4130 (Interpolation and function approximation);
                 C6150G (Diagnostic, testing, debugging and evaluating
                 systems)",
  corpsource =   "Colorado State Univ., Fort Collins, CO, USA",
  fjournal =     "IEEE Micro",
  journal-URL =  "http://www.computer.org/csdl/mags/mi/index.html",
  keywords =     "16-bit machines; 8-bit machine; accuracy; Chen method;
                 computer testing; Cordic method; direct method;
                 function approximation; hardware; Intel 8080; Newton
                 method; PDP-11/20; software requirements; speed;
                 square-roots",
  treatment =    "T Theoretical or Mathematical",
}


bibtype: article
filename: elefunt.bib
label: Armengou:1982:ASQ
author: Santiago Zarzuela Armengou
title: About some questions of differential algebra concerning to elementary functions
journal: Publ. Sec. Mat. Univ. Autonoma Barcelona
volume: 26
number: 1
pages: 5--15
year: 1982
MRclass: 12H05
MRnumber: 86i:12009
MRreviewer: Michael F. Singer
bibdate: Sat Jan 11 17:44:01 MST 1997
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 1997.01.11 17:44:01 MST
acknowledgement: ack-nhfb
rawauthor: Santiago Zarzuela Armengou
rawtitle: About some questions of differential algebra concerning to elementary functions
entry:
@Article{Armengou:1982:ASQ,
  author =       "Santiago Zarzuela Armengou",
  title =        "About some questions of differential algebra
                 concerning to elementary functions",
  journal =      "Publ. Sec. Mat. Univ. Aut{\`o}noma Barcelona",
  volume =       "26",
  number =       "1",
  pages =        "5--15",
  year =         "1982",
  MRclass =      "12H05",
  MRnumber =     "86i:12009",
  MRreviewer =   "Michael F. Singer",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}


bibtype: article
filename: elefunt.bib
label: Barnett:1982:CCB
author: A. R. Barnett
title: COULFG: Coulomb and Bessel functions and their derivatives, for real arguments, by Steed's method
journal: j-COMP-PHYS-COMM
volume: 27
number: 2
pages: 147--166
month: aug
monthnumber: 8
year: 1982
CODEN: CPHCBZ
DOI: https://doi.org/10.1016/0010-4655(82)90070-4
ISSN: 0010-4655 (print), 1879-2944 (electronic) OR 00104655 (print), 18792944 (electronic)
ISSNL: 0010-4655 OR 00104655
bibdate: Mon Feb 13 10:28:03 MST 2012
bibtimestamp: 2012.02.13 10:28:03 MST
URL: http://www.sciencedirect.com/science/article/pii/0010465582900704
fjournal: Computer Physics Communications
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00104655
rawauthor: A. R. Barnett
rawtitle:
{COULFG}: {Coulomb} and {Bessel} functions and their derivatives, for real arguments, by {Steed}'s method

entry:
@Article{Barnett:1982:CCB,
  author =       "A. R. Barnett",
  title =        "{COULFG}: {Coulomb} and {Bessel} functions and their
                 derivatives, for real arguments, by {Steed}'s method",
  journal =      j-COMP-PHYS-COMM,
  volume =       "27",
  number =       "2",
  pages =        "147--166",
  month =        aug,
  year =         "1982",
  CODEN =        "CPHCBZ",
  DOI =          "https://doi.org/10.1016/0010-4655(82)90070-4",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Mon Feb 13 10:28:03 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0010465582900704",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}


bibtype: article
filename: elefunt.bib
label: Barnett:1982:CFE
author: A. R. Barnett
journal: j-J-COMPUT-PHYS
volume: 46
number: 2
pages: 171--188
month: may
monthnumber: 5
year: 1982
CODEN: JCTPAH
DOI: https://doi.org/10.1016/0021-9991(82)90012-2
ISSN: 0021-9991 (print), 1090-2716 (electronic) OR 00219991 (print), 10902716 (electronic)
ISSNL: 0021-9991 OR 00219991
bibdate: Sun Jan 1 15:59:11 MST 2012
bibtimestamp: 2012.01.01 15:59:11 MST
URL: http://www.sciencedirect.com/science/article/pii/0021999182900122
fjournal: Journal of Computational Physics
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00219991/
rawauthor: A. R. Barnett
title:
Continued-fraction evaluation of Coulomb functions $ F_lambda (eta , x) $, $ G_lambda (eta , x) $ and their derivatives

rawtitle:
Continued-fraction evaluation of {Coulomb} functions {$ F_\lambda (\eta, x) $}, {$ G_\lambda (\eta, x) $} and their derivatives

entry:
@Article{Barnett:1982:CFE,
  author =       "A. R. Barnett",
  title =        "Continued-fraction evaluation of {Coulomb} functions
                 {$ F_\lambda (\eta, x) $}, {$ G_\lambda (\eta, x) $}
                 and their derivatives",
  journal =      j-J-COMPUT-PHYS,
  volume =       "46",
  number =       "2",
  pages =        "171--188",
  month =        may,
  year =         "1982",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1016/0021-9991(82)90012-2",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 15:59:11 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999182900122",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991/",
}


bibtype: article
filename: elefunt.bib
label: Barnett:1982:HPE
author: A. R. Barnett
title: High-precision evaluation of the regular and irregular Coulomb wavefunctions
journal: j-J-COMPUT-APPL-MATH
volume: 8
number: 1
pages: 29--33
month: mar
monthnumber: 3
year: 1982
CODEN: JCAMDI
ISSN: 0377-0427 (print), 1879-1778 (electronic) OR 03770427 (print), 18791778 (electronic)
ISSNL: 0377-0427 OR 03770427
bibdate: Sat Feb 25 11:59:22 MST 2017
bibtimestamp: 2017.02.25 11:59:22 MST
URL: http://www.sciencedirect.com/science/article/pii/0771050X82900043
fjournal: Journal of Computational and Applied Mathematics
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/03770427
rawauthor: A. R. Barnett
rawtitle: High-precision evaluation of the regular and irregular {Coulomb} wavefunctions
entry:
@Article{Barnett:1982:HPE,
  author =       "A. R. Barnett",
  title =        "High-precision evaluation of the regular and irregular
                 {Coulomb} wavefunctions",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "8",
  number =       "1",
  pages =        "29--33",
  month =        mar,
  year =         "1982",
  CODEN =        "JCAMDI",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  bibdate =      "Sat Feb 25 11:59:22 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputapplmath1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0771050X82900043",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}


bibtype: techreport
filename: elefunt.bib
label: Bazarov:1982:EEF
author: M. B. Bazarov and Yu. I. Shokin and Z. Kh. Yuldashev
title: On the Evaluation of Elementary Functions in Interval Analysis (In Russian)
institution: Applied Mathematics and Mechanics, Tashkent State Univ.
address: Tashkent, USSR
pages: 26--31
year: 1982
bibdate: Fri Jan 12 11:37:56 1996
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 1996.01.12 11:37:56 ???
acknowledgement: ack-jr
rawauthor: M. B. Bazarov and Yu. I. Shokin and Z. Kh. Yuldashev
rawtitle: On the Evaluation of Elementary Functions in Interval Analysis (In {Russian})
entry:
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  author =       "M. B. Bazarov and Yu. I. Shokin and Z. Kh. Yuldashev",
  title =        "On the Evaluation of Elementary Functions in Interval
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  institution =  "Applied Mathematics and Mechanics, Tashkent State
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  address =      "Tashkent, USSR",
  pages =        "26--31",
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  bibdate =      "Fri Jan 12 11:37:56 1996",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-jr # "\slash " # ack-nhfb,
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bibtype: article
filename: elefunt.bib
label: Belevitch:1982:SIT
author: V. Belevitch and J. Boersma
title: On Stieltjes integral transforms involving $ Gamma $-functions
journal: j-MATH-COMPUT
volume: 38
number: 157
pages: 223--226
month: jan
monthnumber: 1
year: 1982
CODEN: MCMPAF
ISSN: 0025-5718 (print), 1088-6842 (electronic) OR 00255718 (print), 10886842 (electronic)
ISSNL: 0025-5718 OR 00255718
MRclass: 44A15 (33A15 33A45)
MRnumber: 83d:44001
MRreviewer: V. M. Bhise
bibdate: Tue Oct 13 08:06:19 MDT 1998
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; JSTOR database
bibtimestamp: 1998.10.13 08:06:19 MDT
fjournal: Mathematics of Computation
keywords: Gamma functions; integral transforms; Stieltjes transforms; systematic classification; transforms
acknowledgement: ack-nhfb
classcodes: B0230 (Integral transforms); C1130 (Integral transforms)
corpsource: Philips Res Lab., Brussels, Belgium
journalURL: http://www.ams.org/mcom/
treatment: T Theoretical or Mathematical
rawauthor: V. Belevitch and J. Boersma
rawtitle: On {Stieltjes} integral transforms involving {$ \Gamma $}-functions
entry:
@Article{Belevitch:1982:SIT,
  author =       "V. Belevitch and J. Boersma",
  title =        "On {Stieltjes} integral transforms involving {$ \Gamma
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  volume =       "38",
  number =       "157",
  pages =        "223--226",
  month =        jan,
  year =         "1982",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
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  MRnumber =     "83d:44001",
  MRreviewer =   "V. M. Bhise",
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  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
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  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "Gamma functions; integral transforms; Stieltjes
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  treatment =    "T Theoretical or Mathematical",
}


bibtype: article
filename: elefunt.bib
label: Borwein:1982:MNT
author: P. B. Borwein
title: On a method of Newman and a theorem of Bernstein
journal: j-J-APPROX-THEORY
volume: 34
number: 1
pages: 37--41
month: jan
monthnumber: 1
year: 1982
CODEN: JAXTAZ
ISSN: 0021-9045 (print), 1096-0430 (electronic) OR 00219045 (print), 10960430 (electronic)
ISSNL: 0021-9045 OR 00219045
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: Journal of Approximation Theory
subject: G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00219045
rawauthor: P. B. Borwein
rawtitle: On a method of {Newman} and a theorem of {Bernstein}
entry:
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  title =        "On a method of {Newman} and a theorem of {Bernstein}",
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  number =       "1",
  pages =        "37--41",
  month =        jan,
  year =         "1982",
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  ISSN-L =       "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
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  acknowledgement = ack-nhfb,
  catcode =      "G.1.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
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  jrldate =      "Jan. 1982",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}


bibtype: article
filename: elefunt.bib
label: Brezinski:1982:ASG
author: C. Brezinski
title: Algorithm 585: a Subroutine for the General Interpolation and Extrapolation Problems
journal: j-TOMS
volume: 8
number: 3
pages: 290--301
month: sep
monthnumber: 9
year: 1982
CODEN: ACMSCU
DOI: https://doi.org/10.1145/356004.356008
ISSN: 0098-3500 (print), 1557-7295 (electronic) OR 00983500 (print), 15577295 (electronic)
ISSNL: 0098-3500 OR 00983500
bibdate: Mon Aug 29 23:49:19 1994
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/toms.bib
bibtimestamp: 1994.08.29 23:49:19 ???
fjournal: ACM Transactions on Mathematical Software (TOMS)
acknowledgement: ack-nhfb
journalURL: https://dl.acm.org/loi/toms
rawauthor: C. Brezinski
rawtitle: {Algorithm 585}: a Subroutine for the General Interpolation and Extrapolation Problems
keywords:
algorithms; convergence acceleration; extrapolation; interpolation; least squares approximation; Neville--Aitken scheme

entry:
@Article{Brezinski:1982:ASG,
  author =       "C. Brezinski",
  title =        "{Algorithm 585}: a Subroutine for the General
                 Interpolation and Extrapolation Problems",
  journal =      j-TOMS,
  volume =       "8",
  number =       "3",
  pages =        "290--301",
  month =        sep,
  year =         "1982",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/356004.356008",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Mon Aug 29 23:49:19 1994",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/toms.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
  journal-URL =  "https://dl.acm.org/loi/toms",
  keywords =     "algorithms; convergence acceleration; extrapolation;
                 interpolation; least squares approximation;
                 Neville--Aitken scheme",
}


bibtype: article
filename: elefunt.bib
label: Brezinski:1982:SNC
author: Claude Brezinski
title: Some New Convergence Acceleration Methods
journal: j-MATH-COMPUT
volume: 39
number: 159
pages: 133--145
month: jul
monthnumber: 7
year: 1982
CODEN: MCMPAF
DOI: https://doi.org/10.2307/2007624
ISSN: 0025-5718 (print), 1088-6842 (electronic) OR 00255718 (print), 10886842 (electronic)
ISSNL: 0025-5718 OR 00255718
MRclass: 65B05
MRnumber: 658218 (83f:65003)
bibdate: Thu Dec 1 17:36:45 2011
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; JSTOR database
bibtimestamp: 2011.12.01 17:36:45 ???
fjournal: Mathematics of Computation
keywords: convergence acceleration
acknowledgement: ack-nhfb
journalURL: http://www.ams.org/mcom/
rawauthor: Claude Brezinski
rawtitle: Some New Convergence Acceleration Methods
entry:
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  author =       "Claude Brezinski",
  title =        "Some New Convergence Acceleration Methods",
  journal =      j-MATH-COMPUT,
  volume =       "39",
  number =       "159",
  pages =        "133--145",
  month =        jul,
  year =         "1982",
  CODEN =        "MCMPAF",
  DOI =          "https://doi.org/10.2307/2007624",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65B05",
  MRnumber =     "658218 (83f:65003)",
  bibdate =      "Thu Dec 1 17:36:45 2011",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
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  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "convergence acceleration",
}


bibtype: article
filename: elefunt.bib
label: Burr:1982:CCR
author: S. A. Burr
title: Computing cube roots when a fast square root is available
journal: j-COMPUT-MATH-APPL
volume: 8
number: 3
pages: 181--183
year: 1982
CODEN: CMAPDK
DOI: https://doi.org/10.1016/0898-1221(82)90041-4
ISSN: 0898-1221 (print), 1873-7668 (electronic) OR 08981221 (print), 18737668 (electronic)
ISSNL: 0898-1221 OR 08981221
bibdate: Wed Mar 1 18:51:22 MST 2017
bibtimestamp: 2017.03.01 18:51:22 MST
URL: http://www.sciencedirect.com/science/article/pii/0898122182900414
fjournal: Computers and Mathematics with Applications
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/08981221/
rawauthor: S. A. Burr
rawtitle: Computing cube roots when a fast square root is available
bibsource:
https://www.math.utah.edu/pub/tex/bib/computmathappl1980.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib

entry:
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  author =       "S. A. Burr",
  title =        "Computing cube roots when a fast square root is
                 available",
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  volume =       "8",
  number =       "3",
  pages =        "181--183",
  month =        "????",
  year =         "1982",
  CODEN =        "CMAPDK",
  DOI =          "https://doi.org/10.1016/0898-1221(82)90041-4",
  ISSN =         "0898-1221 (print), 1873-7668 (electronic)",
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  bibdate =      "Wed Mar 1 18:51:22 MST 2017",
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                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0898122182900414",
  acknowledgement = ack-nhfb,
  fjournal =     "Computers and Mathematics with Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/08981221/",
}


bibtype: book
filename: elefunt.bib
label: Carroll:1982:TST
author: Robert Wayne Carroll
title: Transmutation, scattering theory, and special functions
volume: 87; 69
publisher: pub-NORTH-HOLLAND
address: pub-NORTH-HOLLAND:adr
pages: x + 457
year: 1982
ISBN: 0-444-86426-1 (paperback) OR 0444864261 (paperback)
ISBN13: 978-0-444-86426-0 (paperback) OR 9780444864260 (paperback)
LCCN: QA1 .N86 no. 87; QA329
bibdate: Sat Oct 30 18:29:29 MDT 2010
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; z3950.loc.gov:7090/Voyager
bibtimestamp: 2010.10.30 18:29:29 MDT
series: North-Holland mathematics studies
acknowledgement: ack-nhfb
rawauthor: Robert Wayne Carroll
rawtitle: Transmutation, scattering theory, and special functions
subject:
Transmutation operators; Scattering (Mathematics); Inverse problems (Differential equations); Functions, Special

entry:
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  author =       "Robert Wayne Carroll",
  title =        "Transmutation, scattering theory, and special
                 functions",
  volume =       "87; 69",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  pages =        "x + 457",
  year =         "1982",
  ISBN =         "0-444-86426-1 (paperback)",
  ISBN-13 =      "978-0-444-86426-0 (paperback)",
  LCCN =         "QA1 .N86 no. 87; QA329",
  bibdate =      "Sat Oct 30 18:29:29 MDT 2010",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "North-Holland mathematics studies",
  acknowledgement = ack-nhfb,
  subject =      "Transmutation operators; Scattering (Mathematics);
                 Inverse problems (Differential equations); Functions,
                 Special",
}


bibtype: article
filename: elefunt.bib
label: Chambers:1982:UBF
author: Ll. G. Chambers
title: An upper bound for the first zero of Bessel functions
journal: j-MATH-COMPUT
volume: 38
number: 158
pages: 589--591
month: apr
monthnumber: 4
year: 1982
CODEN: MCMPAF
ISSN: 0025-5718 (print), 1088-6842 (electronic) OR 00255718 (print), 10886842 (electronic)
ISSNL: 0025-5718 OR 00255718
MRclass: 33A65
MRnumber: 83h:33011
MRreviewer: S. Ahmed
bibdate: Tue Oct 13 08:06:19 MDT 1998
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; JSTOR database
bibtimestamp: 1998.10.13 08:06:19 MDT
fjournal: Mathematics of Computation
acknowledgement: ack-nhfb
journalURL: http://www.ams.org/mcom/
rawauthor: Ll. G. Chambers
rawtitle: An upper bound for the first zero of {Bessel} functions
entry:
@Article{Chambers:1982:UBF,
  author =       "Ll. G. Chambers",
  title =        "An upper bound for the first zero of {Bessel}
                 functions",
  journal =      j-MATH-COMPUT,
  volume =       "38",
  number =       "158",
  pages =        "589--591",
  month =        apr,
  year =         "1982",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
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  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
}


bibtype: inproceedings
filename: elefunt.bib
label: Cody:1982:TTP
author: W. J. Cody
title: Transportable test procedures for elementary function software
crossref: Mulvey:1982:EMP
pages: 236--247
year: 1982
bibdate: Thu Nov 17 06:39:08 1994
bibtimestamp: 1994.11.17 06:39:08 ???
acknowledgement: ack-wjc
rawauthor: W. J. Cody
rawtitle: Transportable test procedures for elementary function software
entry:
@InProceedings{Cody:1982:TTP,
  author =       "W. J. Cody",
  title =        "Transportable test procedures for elementary function
                 software",
  crossref =     "Mulvey:1982:EMP",
  pages =        "236--247",
  year =         "1982",
  bibdate =      "Thu Nov 17 06:39:08 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-wjc,
}


bibtype: article
filename: elefunt.bib
label: Crick:1982:IRB
author: S. E. Crick
title: Inclusion relations for Bernstein quasi-analytic classes
journal: j-J-APPROX-THEORY
volume: 34
number: 4
pages: 375--379
month: apr
monthnumber: 4
year: 1982
CODEN: JAXTAZ
ISSN: 0021-9045 (print), 1096-0430 (electronic) OR 00219045 (print), 10960430 (electronic)
ISSNL: 0021-9045 OR 00219045
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: Journal of Approximation Theory
subject: G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00219045
rawauthor: S. E. Crick
rawtitle: Inclusion relations for {Bernstein} quasi-analytic classes
entry:
@Article{Crick:1982:IRB,
  author =       "S. E. Crick",
  title =        "Inclusion relations for {Bernstein} quasi-analytic
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  journal =      j-J-APPROX-THEORY,
  volume =       "34",
  number =       "4",
  pages =        "375--379",
  month =        apr,
  year =         "1982",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045 (print), 1096-0430 (electronic)",
  ISSN-L =       "0021-9045",
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  acknowledgement = ack-nhfb,
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  fjournal =     "Journal of Approximation Theory",
  genterm =      "algorithms; theory",
  guideno =      "07841",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219045",
  jrldate =      "April 1982",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}


bibtype: article
filename: elefunt.bib
label: Cruz:1982:ZHF
author: Andres Cruz and Javier Sesma
title: Zeros of the Hankel function of real order and of its derivative
journal: j-MATH-COMPUT
volume: 39
number: 160
pages: 639--645
month: oct
monthnumber: 10
year: 1982
CODEN: MCMPAF
ISSN: 0025-5718 (print), 1088-6842 (electronic) OR 00255718 (print), 10886842 (electronic)
ISSNL: 0025-5718 OR 00255718
MRclass: 33A40
MRnumber: 83j:33005
MRreviewer: S. Ahmed
bibdate: Tue Oct 13 08:06:19 MDT 1998
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; JSTOR database
bibtimestamp: 1998.10.13 08:06:19 MDT
fjournal: Mathematics of Computation
acknowledgement: ack-nhfb
corpsource: Dept. de Fisica Teorica, Univ. de Zaragoza, Zaragoza, Spain
journalURL: http://www.ams.org/mcom/
treatment: T Theoretical or Mathematical
rawauthor: Andr{\'e}s Cruz and Javier Sesma
rawtitle: Zeros of the {Hankel} function of real order and of its derivative
keywords:
approximation; derivative; evaluation; function approximation; function evaluation; Hankel function; poles and zeros; real order; trajectories; zeros

classcodes:
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  author =       "Andr{\'e}s Cruz and Javier Sesma",
  title =        "Zeros of the {Hankel} function of real order and of
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  journal =      j-MATH-COMPUT,
  volume =       "39",
  number =       "160",
  pages =        "639--645",
  month =        oct,
  year =         "1982",
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  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
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  MRreviewer =   "S. Ahmed",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
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  keywords =     "approximation; derivative; evaluation; function
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  treatment =    "T Theoretical or Mathematical",
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bibtype: article
filename: elefunt.bib
label: Danielopoulos:1982:CEP
author: S. D. Danielopoulos
title: On the Cost of Evaluating Polynomials and Their Derivatives
journal: j-COMPUTING
volume: 29
number: 4
pages: 373--380
year: 1982
CODEN: CMPTA2
ISSN: 0010-485X (print), 1436-5057 (electronic) OR 0010485X (print), 14365057 (electronic)
ISSNL: 0010-485X OR 0010485X
MRclass: 68C25 (68C20)
MRnumber: 84a:68039
bibdate: Fri Nov 8 18:01:57 MST 2002
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: Computing
keywords: mathematical techniques
acknowledgement: ack-nhfb
affiliation: Univ of Ioannina, Greece
journalURL: http://link.springer.com/journal/607
journalabr: Computing (Vienna/New York)
rawauthor: S. D. Danielopoulos
rawtitle: On the Cost of Evaluating Polynomials and Their Derivatives
bibsource:
ACM Computing Archive CD-ROM database (1991); Compendex database; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; MathSciNet database

subject:
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.4 MATHEMATICAL SOFTWARE; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS

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  title =        "On the Cost of Evaluating Polynomials and Their
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  volume =       "29",
  number =       "4",
  pages =        "373--380",
  year =         "1982",
  CODEN =        "CMPTA2",
  ISSN =         "0010-485X (print), 1436-5057 (electronic)",
  ISSN-L =       "0010-485X",
  MRclass =      "68C25 (68C20)",
  MRnumber =     "84a:68039",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 Compendex database;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  affiliation =  "Univ of Ioannina, Greece",
  catcode =      "G.1.2; G.4; G.1.0",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation; G.4 Algorithm analysis; G.1.0 General;
                 G.1.0 Computer arithmetic",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Mathematics of Computing, MATHEMATICAL SOFTWARE,
                 Algorithm analysis; Mathematics of Computing, NUMERICAL
                 ANALYSIS, General, Computer arithmetic",
  fjournal =     "Computing",
  genterm =      "economics; theory",
  guideno =      "04049",
  journal-URL =  "http://link.springer.com/journal/607",
  journalabr =   "Computing (Vienna/New York)",
  jrldate =      "1982",
  keywords =     "mathematical techniques",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.4 MATHEMATICAL SOFTWARE;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}


bibtype: article
filename: elefunt.bib
label: Decker:1982:CAN
author: D. W. Decker and C. T. Kelley
title: Convergence acceleration for Newton's method at singular points
journal: j-SIAM-J-NUMER-ANAL
volume: 19
number: 1
pages: 219--229
month: feb
monthnumber: 2
year: 1982
CODEN: SJNAAM
ISSN: 0036-1429 (print), 1095-7170 (electronic) OR 00361429 (print), 10957170 (electronic)
ISSNL: 0036-1429 OR 00361429
MRclass: 65H05 (58E07 65J15)
MRnumber: 83e:65090
MRreviewer: Michael Pr{\"u}fer
bibdate: Fri Oct 16 06:57:22 MDT 1998
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; JSTOR database
bibtimestamp: 1998.10.16 06:57:22 MDT
fjournal: SIAM Journal on Numerical Analysis
keywords: convergence acceleration
acknowledgement: ack-nhfb
journalURL: http://epubs.siam.org/sinum
rawauthor: D. W. Decker and C. T. Kelley
rawtitle: Convergence acceleration for {Newton}'s method at singular points
entry:
@Article{Decker:1982:CAN,
  author =       "D. W. Decker and C. T. Kelley",
  title =        "Convergence acceleration for {Newton}'s method at
                 singular points",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "19",
  number =       "1",
  pages =        "219--229",
  month =        feb,
  year =         "1982",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65H05 (58E07 65J15)",
  MRnumber =     "83e:65090",
  MRreviewer =   "Michael Pr{\"u}fer",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Numerical Analysis",
  journal-URL =  "http://epubs.siam.org/sinum",
  keywords =     "convergence acceleration",
}


bibtype: article
filename: elefunt.bib
label: Delahaye:1982:SLC
author: J. P. Delahaye and B. Germain-Bonne
title: The set of logarithmically convergent sequences cannot be accelerated
journal: j-SIAM-J-NUMER-ANAL
volume: 19
number: 4
pages: 840--844
month: aug
monthnumber: 8
year: 1982
CODEN: SJNAAM
ISSN: 0036-1429 (print), 1095-7170 (electronic) OR 00361429 (print), 10957170 (electronic)
ISSNL: 0036-1429 OR 00361429
MRclass: 65B99
MRnumber: 83f:65005
bibdate: Fri Oct 16 06:57:22 MDT 1998
bibtimestamp: 1998.10.16 06:57:22 MDT
fjournal: SIAM Journal on Numerical Analysis
keywords: convergence acceleration
acknowledgement: ack-nhfb
journalURL: http://epubs.siam.org/sinum
rawauthor: J. P. Delahaye and B. Germain-Bonne
rawtitle: The set of logarithmically convergent sequences cannot be accelerated
bibsource:
https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib; JSTOR database

entry:
@Article{Delahaye:1982:SLC,
  author =       "J. P. Delahaye and B. Germain-Bonne",
  title =        "The set of logarithmically convergent sequences cannot
                 be accelerated",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "19",
  number =       "4",
  pages =        "840--844",
  month =        aug,
  year =         "1982",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65B99",
  MRnumber =     "83f:65005",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Numerical Analysis",
  journal-URL =  "http://epubs.siam.org/sinum",
  keywords =     "convergence acceleration",
}


bibtype: article
filename: elefunt.bib
label: Epstein:1982:UAF
author: C. Epstein and W. L. Miranker and T. J. Rivlin
title: Ultra-arithmetic I: function data types
journal: j-MATH-COMP-SIM
volume: 24
number: 1
pages: 1--18
month: feb
monthnumber: 2
year: 1982
CODEN: MCSIDR
ISSN: 0378-4754 (print), 1872-7166 (electronic) OR 03784754 (print), 18727166 (electronic)
ISSNL: 0378-4754 OR 03784754
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: Mathematics and Computers in Simulation
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/03784754
rawauthor: C. Epstein and W. L. Miranker and T. J. Rivlin
rawtitle: Ultra-arithmetic {I}: function data types
subject:
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS

entry:
@Article{Epstein:1982:UAF,
  author =       "C. Epstein and W. L. Miranker and T. J. Rivlin",
  title =        "Ultra-arithmetic {I}: function data types",
  journal =      j-MATH-COMP-SIM,
  volume =       "24",
  number =       "1",
  pages =        "1--18",
  month =        feb,
  year =         "1982",
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  ISSN =         "0378-4754 (print), 1872-7166 (electronic)",
  ISSN-L =       "0378-4754",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
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  acknowledgement = ack-nhfb,
  catcode =      "G.1; G.1.2; G.1.2",
  CRclass =      "G.1.5 Roots of Nonlinear Equations; G.1.2
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  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS, Roots of
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  fjournal =     "Mathematics and Computers in Simulation",
  genterm =      "algorithms",
  guideno =      "09324",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03784754",
  jrldate =      "Feb. 1982",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
                 Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}


bibtype: article
filename: elefunt.bib
label: Epstein:1982:UAI
author: C. Epstein and W. L. Miranker and T. J. Rivlin
title: Ultra-arithmetic II: intervals of polynomials
journal: j-MATH-COMP-SIM
volume: 24
number: 1
pages: 19--29
month: feb
monthnumber: 2
year: 1982
CODEN: MCSIDR
ISSN: 0378-4754 (print), 1872-7166 (electronic) OR 03784754 (print), 18727166 (electronic)
ISSNL: 0378-4754 OR 03784754
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: Mathematics and Computers in Simulation
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/03784754
rawauthor: C. Epstein and W. L. Miranker and T. J. Rivlin
rawtitle: Ultra-arithmetic {II}: intervals of polynomials
subject:
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS

entry:
@Article{Epstein:1982:UAI,
  author =       "C. Epstein and W. L. Miranker and T. J. Rivlin",
  title =        "Ultra-arithmetic {II}: intervals of polynomials",
  journal =      j-MATH-COMP-SIM,
  volume =       "24",
  number =       "1",
  pages =        "19--29",
  month =        feb,
  year =         "1982",
  CODEN =        "MCSIDR",
  ISSN =         "0378-4754 (print), 1872-7166 (electronic)",
  ISSN-L =       "0378-4754",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
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  acknowledgement = ack-nhfb,
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  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
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  fjournal =     "Mathematics and Computers in Simulation",
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  jrldate =      "Feb. 1982",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
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}


bibtype: article
filename: elefunt.bib
label: Fenton:1982:RCM
author: J. D. Fenton and R. S. Gardiner-Garden
title: Rapidly-convergent methods for evaluating elliptic integrals and theta and elliptic functions
journal: j-J-AUSTRAL-MATH-SOC-SER-B
volume: 24
number: 1
pages: 47--58
month: jul
monthnumber: 7
year: 1982
CODEN: JAMMDU
DOI: https://doi.org/10.1017/S0334270000003301
ISSN: 0334-2700 OR 03342700
ISSNL: 0334-2700 OR 03342700
bibdate: Fri Apr 26 16:13:14 MDT 2019
bibtimestamp: 2019.04.26 16:13:14 MDT
fjournal: Journal of the Australian Mathematical Society. Series B, Applied Mathematics
acknowledgement: ack-nhfb
ajournal: J. Austral Math. Soc. Ser. B
journalURL: http://journals.cambridge.org/action/displayJournal?jid=ANZ
onlinedate: 17 February 2009
rawauthor: J. D. Fenton and R. S. Gardiner-Garden
rawtitle: Rapidly-convergent methods for evaluating elliptic integrals and theta and elliptic functions
bibsource:
https://www.math.utah.edu/pub/tex/bib/anziamj.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib

URL:
https://www.cambridge.org/core/journals/anziam-journal/article/rapidlyconvergent-methods-for-evaluating-elliptic-integrals-and-theta-and-elliptic-functions/2D993C9A7C9EB1D4B61B856E22B45A34

entry:
@Article{Fenton:1982:RCM,
  author =       "J. D. Fenton and R. S. Gardiner-Garden",
  title =        "Rapidly-convergent methods for evaluating elliptic
                 integrals and theta and elliptic functions",
  journal =      j-J-AUSTRAL-MATH-SOC-SER-B,
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  number =       "1",
  pages =        "47--58",
  month =        jul,
  year =         "1982",
  CODEN =        "JAMMDU",
  DOI =          "https://doi.org/10.1017/S0334270000003301",
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  ISSN-L =       "0334-2700",
  bibdate =      "Fri Apr 26 16:13:14 MDT 2019",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/anziamj.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "https://www.cambridge.org/core/journals/anziam-journal/article/rapidlyconvergent-methods-for-evaluating-elliptic-integrals-and-theta-and-elliptic-functions/2D993C9A7C9EB1D4B61B856E22B45A34",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Austral Math. Soc. Ser. B",
  fjournal =     "Journal of the Australian Mathematical Society. Series
                 B, Applied Mathematics",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=ANZ",
  onlinedate =   "17 February 2009",
}


bibtype: article
filename: elefunt.bib
label: Fernandez:1982:HCI
author: F. M. Fernandez and A. Meson and E. A. Castro
title: Hypervirial calculation of integrals involving Bessel functions
journal: j-J-MATH-PHYS
volume: 23
number: 2
pages: 254--255
month: feb
monthnumber: 2
year: 1982
CODEN: JMAPAQ
DOI: https://doi.org/10.1063/1.525345
ISSNL: 0022-2488 OR 00222488
MRclass: 81C05 (33A40 82A51)
MRnumber: 83c:81010
bibdate: Sat Oct 29 18:19:03 MDT 2011
bibtimestamp: 2011.10.29 18:19:03 MDT
URL: http://jmp.aip.org/resource/1/jmapaq/v23/i2/p254_s1
fjournal: Journal of Mathematical Physics
acknowledgement: ack-nhfb
journalURL: http://jmp.aip.org/
rawauthor: F. M. Fern{\'a}ndez and A. Mes{\'o}n and E. A. Castro
rawtitle: Hypervirial calculation of integrals involving {Bessel} functions
bibsource:
http://jmp.aip.org/; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/jmathphys1980.bib

entry:
@Article{Fernandez:1982:HCI,
  author =       "F. M. Fern{\'a}ndez and A. Mes{\'o}n and E. A.
                 Castro",
  title =        "Hypervirial calculation of integrals involving
                 {Bessel} functions",
  journal =      j-J-MATH-PHYS,
  volume =       "23",
  number =       "2",
  pages =        "254--255",
  month =        feb,
  year =         "1982",
  CODEN =        "JMAPAQ",
  DOI =          "https://doi.org/10.1063/1.525345",
  ISSN =         "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
  ISSN-L =       "0022-2488",
  MRclass =      "81C05 (33A40 82A51)",
  MRnumber =     "83c:81010",
  bibdate =      "Sat Oct 29 18:19:03 MDT 2011",
  bibsource =    "http://jmp.aip.org/;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/jmathphys1980.bib",
  URL =          "http://jmp.aip.org/resource/1/jmapaq/v23/i2/p254_s1",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Mathematical Physics",
  journal-URL =  "http://jmp.aip.org/",
  pagecount =    "2",
}


bibtype: article
filename: elefunt.bib
label: Gawronski:1982:ACF
author: W. Gawronski and U. Stadtmuller
title: Approximation of continuous functions by generalized Favard operators
journal: j-J-APPROX-THEORY
volume: 34
number: 4
pages: 384--396
month: apr
monthnumber: 4
year: 1982
CODEN: JAXTAZ
ISSN: 0021-9045 (print), 1096-0430 (electronic) OR 00219045 (print), 10960430 (electronic)
ISSNL: 0021-9045 OR 00219045
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: Journal of Approximation Theory
subject: G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00219045
rawauthor: W. Gawronski and U. Stadtm{\"u}ller
rawtitle: Approximation of continuous functions by generalized {Favard} operators
entry:
@Article{Gawronski:1982:ACF,
  author =       "W. Gawronski and U. Stadtm{\"u}ller",
  title =        "Approximation of continuous functions by generalized
                 {Favard} operators",
  journal =      j-J-APPROX-THEORY,
  volume =       "34",
  number =       "4",
  pages =        "384--396",
  month =        apr,
  year =         "1982",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045 (print), 1096-0430 (electronic)",
  ISSN-L =       "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  catcode =      "G.1.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
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  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
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  fjournal =     "Journal of Approximation Theory",
  genterm =      "theory; algorithms",
  guideno =      "06038",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219045",
  jrldate =      "April 1982",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}


bibtype: article
filename: elefunt.bib
label: Gessel:1982:SEH
author: Ira Gessel and Dennis Stanton
title: Strange Evaluations of Hypergeometric Series
journal: j-SIAM-J-MATH-ANA
volume: 13
number: 2
pages: 295--308
month: mar
monthnumber: 3
year: 1982
CODEN: SJMAAH
ISSN: 0036-1410 (print), 1095-7154 (electronic) OR 00361410 (print), 10957154 (electronic)
ISSNL: 0036-1410 OR 00361410
MRclass: 33A30
MRnumber: 83c:33002
MRreviewer: C. L. Parihar
bibdate: Sun Nov 28 19:22:53 MST 2010
bibtimestamp: 2010.11.28 19:22:53 MST
fjournal: SIAM Journal on Mathematical Analysis
acknowledgement: ack-nhfb
journalURL: http://epubs.siam.org/sima
rawauthor: Ira Gessel and Dennis Stanton
rawtitle: Strange Evaluations of Hypergeometric Series
bibsource:
http://epubs.siam.org/sam-bin/dbq/toc/SIMA/13/2; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/siamjmathana.bib

entry:
@Article{Gessel:1982:SEH,
  author =       "Ira Gessel and Dennis Stanton",
  title =        "Strange Evaluations of Hypergeometric Series",
  journal =      j-SIAM-J-MATH-ANA,
  volume =       "13",
  number =       "2",
  pages =        "295--308",
  month =        mar,
  year =         "1982",
  CODEN =        "SJMAAH",
  ISSN =         "0036-1410 (print), 1095-7154 (electronic)",
  ISSN-L =       "0036-1410",
  MRclass =      "33A30",
  MRnumber =     "83c:33002",
  MRreviewer =   "C. L. Parihar",
  bibdate =      "Sun Nov 28 19:22:53 MST 2010",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/13/2;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
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  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Mathematical Analysis",
  journal-URL =  "http://epubs.siam.org/sima",
}


bibtype: article
filename: elefunt.bib
label: Gordon:1982:RAN
author: H. T. Gordon
title: Rough approximation numerical algorithms
journal: j-DDJ
volume: 7
number: 7
pages: 54--56
month: jul
monthnumber: 7
year: 1982
CODEN: DDJOEB
ISSN: 1044-789X OR 1044789X
bibdate: Fri Nov 8 18:01:57 MST 2002
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: Dr. Dobb's Journal of Software Tools
acknowledgement: ack-nhfb
rawauthor: H. T. Gordon
rawtitle: Rough approximation numerical algorithms
bibsource:
ACM Computing Archive CD-ROM database (1991); http://www.ddj.com/index/author/index.htm; https://www.math.utah.edu/pub/tex/bib/elefunt.bib

subject:
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS

entry:
@Article{Gordon:1982:RAN,
  author =       "H. T. Gordon",
  title =        "Rough approximation numerical algorithms",
  journal =      j-DDJ,
  volume =       "7",
  number =       "7",
  pages =        "54--56",
  month =        jul,
  year =         "1982",
  CODEN =        "DDJOEB",
  ISSN =         "1044-789X",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 http://www.ddj.com/index/author/index.htm;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  catcode =      "G.1.0; G.1.2",
  CRclass =      "G.1.0 General; G.1.0 Numerical algorithms; G.1.2
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  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS, General,
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                 NUMERICAL ANALYSIS, Approximation, Elementary function
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  fjournal =     "Dr. Dobb's Journal of Software Tools",
  guideno =      "04547",
  jrldate =      "July 1982",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}


bibtype: article
filename: elefunt.bib
label: Greaves:1982:AHM
author: G. Greaves
title: An algorithm for the Hausdorff moment problem
journal: j-NUM-MATH
volume: 39
number: 2
pages: 231--238
month: aug
monthnumber: 8
year: 1982
CODEN: NUMMA7
ISSN: 0029-599X (print), 0945-3245 (electronic) OR 0029599X (print), 09453245 (electronic)
ISSNL: 0029-599X OR 0029599X
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: Numerische Mathematik
subject: G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS
acknowledgement: ack-nhfb
journalURL: http://link.springer.com/journal/211
rawauthor: G. Greaves
rawtitle: An algorithm for the {Hausdorff} moment problem
entry:
@Article{Greaves:1982:AHM,
  author =       "G. Greaves",
  title =        "An algorithm for the {Hausdorff} moment problem",
  journal =      j-NUM-MATH,
  volume =       "39",
  number =       "2",
  pages =        "231--238",
  month =        aug,
  year =         "1982",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  catcode =      "G.1.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation",
  fjournal =     "Numerische Mathematik",
  genterm =      "algorithms",
  guideno =      "07489",
  journal-URL =  "http://link.springer.com/journal/211",
  jrldate =      "Aug. 1982",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}


bibtype: article
filename: elefunt.bib
label: Hawkes:1982:ANT
author: Alan G. Hawkes
title: Approximating the Normal Tail
journal: j-J-R-STAT-SOC-SER-D-STATISTICIAN
volume: 31
number: 3
pages: 231--236
month: sep
monthnumber: 9
year: 1982
DOI: https://doi.org/10.2307/2987989
ISSN: 0039-0526 (print), 1467-9884 (electronic) OR 00390526 (print), 14679884 (electronic)
ISSNL: 0039-0526 OR 00390526
bibdate: Thu Jan 22 18:10:21 MST 2015
bibtimestamp: 2015.01.22 18:10:21 MST
URL: http://www.jstor.org/stable/2987989
fjournal: Journal of the Royal Statistical Society. Series D (The Statistician)
acknowledgement: ack-nhfb
journalURL: http://www.jstor.org/journals/00390526.html
rawauthor: Alan G. Hawkes
rawtitle: Approximating the Normal Tail
bibsource:
http://www.jstor.org/stable/i349970; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/jrss-d-1980.bib

entry:
@Article{Hawkes:1982:ANT,
  author =       "Alan G. Hawkes",
  title =        "Approximating the Normal Tail",
  journal =      j-J-R-STAT-SOC-SER-D-STATISTICIAN,
  volume =       "31",
  number =       "3",
  pages =        "231--236",
  month =        sep,
  year =         "1982",
  CODEN =        "????",
  DOI =          "https://doi.org/10.2307/2987989",
  ISSN =         "0039-0526 (print), 1467-9884 (electronic)",
  ISSN-L =       "0039-0526",
  bibdate =      "Thu Jan 22 18:10:21 MST 2015",
  bibsource =    "http://www.jstor.org/stable/i349970;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/jrss-d-1980.bib",
  URL =          "http://www.jstor.org/stable/2987989",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of the Royal Statistical Society. Series D
                 (The Statistician)",
  journal-URL =  "http://www.jstor.org/journals/00390526.html",
}


bibtype: article
filename: elefunt.bib
label: Hermann:1982:SAG
author: Robert Hermann
journal: j-J-MATH-PHYS
volume: 23
number: 7
pages: 1282--1294
month: jul
monthnumber: 7
year: 1982
CODEN: JMAPAQ
DOI: https://doi.org/10.1063/1.525511
ISSNL: 0022-2488 OR 00222488
bibdate: Sat Oct 29 18:19:10 MDT 2011
bibtimestamp: 2011.10.29 18:19:10 MDT
URL: http://jmp.aip.org/resource/1/jmapaq/v23/i7/p1282_s1
fjournal: Journal of Mathematical Physics
acknowledgement: ack-nhfb
journalURL: http://jmp.aip.org/
rawauthor: Robert Hermann
title:
Some algebraic, geometric, and system-theoretic properties of the Special Functions of mathematical physics

bibsource:
http://jmp.aip.org/; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/jmathphys1980.bib

abstract:
It is known that many of the Special Functions of mathematical physics appear as matrix elements of Lie group representations. This paper is concerned with a beginning attack on the converse problem, i.e., finding conditions that a given function be a matrix element. The methods used are based on a combination of ideas from system theory, functional analysis, Lie theory, differential algebra, and linear ordinary differential equation theory. A key idea is to attach a symbol as an element of a commutative algebra. In favorable cases, this symbol defines a Riemann surface, and a meromorphic differential form on that surface. The topological and analytical invariants attached to this form play a key role in system theory. The Lie algebras of the groups appear as linear differential operators on this Riemann surface. Finally, it is shown how the Picard--Vessiot--Infeld--Hull theory of factorization of linear differential operators leads to realization of many Special Functions as matrix representations of group representations.

rawabstract:
It is known that many of the Special Functions of mathematical physics appear as matrix elements of Lie group representations. This paper is concerned with a beginning attack on the converse problem, i.e., finding conditions that a given function be a matrix element. The methods used are based on a combination of ideas from system theory, functional analysis, Lie theory, differential algebra, and linear ordinary differential equation theory. A key idea is to attach a symbol as an element of a commutative algebra. In favorable cases, this symbol defines a Riemann surface, and a meromorphic differential form on that surface. The topological and analytical invariants attached to this form play a key role in system theory. The Lie algebras of the groups appear as linear differential operators on this Riemann surface. Finally, it is shown how the Picard--Vessiot--Infeld--Hull theory of factorization of linear differential operators leads to realization of many Special Functions as matrix representations of group representations.

rawtitle:
Some algebraic, geometric, and system-theoretic properties of the {Special Functions} of mathematical physics

entry:
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  author =       "Robert Hermann",
  title =        "Some algebraic, geometric, and system-theoretic
                 properties of the {Special Functions} of mathematical
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  journal =      j-J-MATH-PHYS,
  volume =       "23",
  number =       "7",
  pages =        "1282--1294",
  month =        jul,
  year =         "1982",
  CODEN =        "JMAPAQ",
  DOI =          "https://doi.org/10.1063/1.525511",
  ISSN =         "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
  ISSN-L =       "0022-2488",
  bibdate =      "Sat Oct 29 18:19:10 MDT 2011",
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                 https://www.math.utah.edu/pub/tex/bib/jmathphys1980.bib",
  URL =          "http://jmp.aip.org/resource/1/jmapaq/v23/i7/p1282_s1",
  abstract =     "It is known that many of the Special Functions of
                 mathematical physics appear as matrix elements of Lie
                 group representations. This paper is concerned with a
                 beginning attack on the converse problem, i.e., finding
                 conditions that a given function be a matrix element.
                 The methods used are based on a combination of ideas
                 from system theory, functional analysis, Lie theory,
                 differential algebra, and linear ordinary differential
                 equation theory. A key idea is to attach a symbol as an
                 element of a commutative algebra. In favorable cases,
                 this symbol defines a Riemann surface, and a
                 meromorphic differential form on that surface. The
                 topological and analytical invariants attached to this
                 form play a key role in system theory. The Lie algebras
                 of the groups appear as linear differential operators
                 on this Riemann surface. Finally, it is shown how the
                 Picard--Vessiot--Infeld--Hull theory of factorization
                 of linear differential operators leads to realization
                 of many Special Functions as matrix representations of
                 group representations.",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Mathematical Physics",
  journal-URL =  "http://jmp.aip.org/",
  pagecount =    "13",
}


bibtype: techreport
filename: elefunt.bib
label: Kahan:1982:BCC
author: W. Kahan
title: Branch Cuts for Complex Elementary Functions
type: Technical Report
number: PAM-105
institution: inst-CPAM-UCB
address: inst-CPAM-UCB:adr
pages: 1282--1294
year: 1982
bibdate: Mon May 19 13:30:58 1997
bibtimestamp: 1997.05.19 13:30:58 ???
keywords: na, elementary function
acknowledgement: ack-nhfb
rawauthor: W. Kahan
rawtitle: Branch Cuts for Complex Elementary Functions
bibsource:
ftp://ftp.ira.uka.de/pub/bibliography/Math/Matrix.bib.gz; https://www.math.utah.edu/pub/tex/bib/elefunt.bib

entry:
@TechReport{Kahan:1982:BCC,
  author =       "W. Kahan",
  title =        "Branch Cuts for Complex Elementary Functions",
  type =         "Technical Report",
  number =       "PAM-105",
  institution =  inst-CPAM-UCB,
  address =      inst-CPAM-UCB:adr,
  year =         "1982",
  bibdate =      "Mon May 19 13:30:58 1997",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Math/Matrix.bib.gz;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  keywords =     "na, elementary function",
}


bibtype: article
filename: elefunt.bib
label: Keener:1982:CLB
author: L. L. Keener
title: Characterizing local best SAIN approximations
journal: j-J-APPROX-THEORY
volume: 36
number: 1
pages: 55--63
month: sep
monthnumber: 9
year: 1982
CODEN: JAXTAZ
ISSN: 0021-9045 (print), 1096-0430 (electronic) OR 00219045 (print), 10960430 (electronic)
ISSNL: 0021-9045 OR 00219045
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: Journal of Approximation Theory
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00219045
rawauthor: L. L. Keener
rawtitle: Characterizing local best {SAIN} approximations
subject:
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS

entry:
@Article{Keener:1982:CLB,
  author =       "L. L. Keener",
  title =        "Characterizing local best {SAIN} approximations",
  journal =      j-J-APPROX-THEORY,
  volume =       "36",
  number =       "1",
  pages =        "55--63",
  month =        sep,
  year =         "1982",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045 (print), 1096-0430 (electronic)",
  ISSN-L =       "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  catcode =      "G.1.2; G.1.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Chebyshev approximation and
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  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
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  fjournal =     "Journal of Approximation Theory",
  genterm =      "theory",
  guideno =      "06074",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219045",
  jrldate =      "Sept. 1982",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}


bibtype: article
filename: elefunt.bib
label: Lassey:1982:CCI
author: Keith R. Lassey
title: On the computation of certain integrals containing the modified Bessel function $ I_0 (xi ) $
journal: j-MATH-COMPUT
volume: 39
number: 160
pages: 625--637
month: oct
monthnumber: 10
year: 1982
CODEN: MCMPAF
ISSN: 0025-5718 (print), 1088-6842 (electronic) OR 00255718 (print), 10886842 (electronic)
ISSNL: 0025-5718 OR 00255718
MRclass: 65D20
MRnumber: 83j:65029
MRreviewer: Walter Gautschi
bibdate: Tue Oct 13 08:06:19 MDT 1998
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; JSTOR database
bibtimestamp: 1998.10.13 08:06:19 MDT
fjournal: Mathematics of Computation
acknowledgement: ack-nhfb
corpsource: Inst. of Nuclear Sci., DSIR, Lower Hutt, New Zealand
journalURL: http://www.ams.org/mcom/
treatment: T Theoretical or Mathematical
rawauthor: Keith R. Lassey
rawtitle: On the computation of certain integrals containing the modified {Bessel} function $ {I}_0 (\xi) $
keywords:
approximation; approximation theory; convergence of numerical methods; convergent series; function; function approximation; integration; limiting behaviour; modified Bessel; numerical integration; one-dimensional integrals; two-dimensional integrals

classcodes:
B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)

entry:
@Article{Lassey:1982:CCI,
  author =       "Keith R. Lassey",
  title =        "On the computation of certain integrals containing the
                 modified {Bessel} function $ {I}_0 (\xi) $",
  journal =      j-MATH-COMPUT,
  volume =       "39",
  number =       "160",
  pages =        "625--637",
  month =        oct,
  year =         "1982",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65D20",
  MRnumber =     "83j:65029",
  MRreviewer =   "Walter Gautschi",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
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                 B0290M (Numerical integration and differentiation);
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                 (Numerical integration and differentiation)",
  corpsource =   "Inst. of Nuclear Sci., DSIR, Lower Hutt, New Zealand",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "approximation; approximation theory; convergence of
                 numerical methods; convergent series; function;
                 function approximation; integration; limiting
                 behaviour; modified Bessel; numerical integration;
                 one-dimensional integrals; two-dimensional integrals",
  treatment =    "T Theoretical or Mathematical",
}


bibtype: article
filename: elefunt.bib
label: Ling:1982:EIH
author: Chih Bing Ling and Ming Jing Wu
title: Evaluation of integrals of Howland type involving a Bessel function
journal: j-MATH-COMPUT
volume: 38
number: 157
pages: 215--222
month: jan
monthnumber: 1
year: 1982
CODEN: MCMPAF
ISSN: 0025-5718 (print), 1088-6842 (electronic) OR 00255718 (print), 10886842 (electronic)
ISSNL: 0025-5718 OR 00255718
MRclass: 65A05 (65D20)
MRnumber: 82m:65003
bibdate: Tue Oct 13 08:06:19 MDT 1998
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; JSTOR database
bibtimestamp: 1998.10.13 08:06:19 MDT
fjournal: Mathematics of Computation
acknowledgement: ack-nhfb
corpsource: Dept. of Maths., Virginia Polytech. Inst. and State Univ., Blacksburg, VA, USA
journalURL: http://www.ams.org/mcom/
treatment: T Theoretical or Mathematical
rawauthor: Chih Bing Ling and Ming Jing Wu
rawtitle: Evaluation of integrals of {Howland} type involving a {Bessel} function
keywords:
10D; 20D; accuracy; Bessel function; Bessel functions; Howland type; integrals; integration; tabulated values

classcodes:
B0220 (Mathematical analysis); B0290M (Numerical integration and differentiation); C1120 (Mathematical analysis); C4160 (Numerical integration and differentiation)

entry:
@Article{Ling:1982:EIH,
  author =       "Chih Bing Ling and Ming Jing Wu",
  title =        "Evaluation of integrals of {Howland} type involving a
                 {Bessel} function",
  journal =      j-MATH-COMPUT,
  volume =       "38",
  number =       "157",
  pages =        "215--222",
  month =        jan,
  year =         "1982",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65A05 (65D20)",
  MRnumber =     "82m:65003",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0220 (Mathematical analysis); B0290M (Numerical
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  corpsource =   "Dept. of Maths., Virginia Polytech. Inst. and State
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  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "10D; 20D; accuracy; Bessel function; Bessel functions;
                 Howland type; integrals; integration; tabulated
                 values",
  treatment =    "T Theoretical or Mathematical",
}


bibtype: article
filename: elefunt.bib
label: McCormick:1982:EFM
author: S. F. McCormick and G. D. Taylor and D. V. Pryor
title: Evaluation of Functions on Microcomputers: $ ln (x) $
journal: j-COMPUT-MATH-APPL
volume: 8
number: 5
pages: 389--392
year: 1982
CODEN: CMAPDK
ISSN: 0898-1221 (print), 1873-7668 (electronic) OR 08981221 (print), 18737668 (electronic)
ISSNL: 0898-1221 OR 08981221
bibdate: Wed Mar 1 18:51:23 MST 2017
bibtimestamp: 2017.03.01 18:51:23 MST
URL: http://www.sciencedirect.com/science/article/pii/0898122182900323
fjournal: Computers and Mathematics with Applications
acknowledgement: ack-nj
journalURL: http://www.sciencedirect.com/science/journal/08981221/
rawauthor: S. F. McCormick and G. D. Taylor and D. V. Pryor
rawtitle: Evaluation of Functions on Microcomputers: $ \ln (x) $
bibsource:
ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; https://www.math.utah.edu/pub/tex/bib/computmathappl1980.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib

entry:
@Article{McCormick:1982:EFM,
  author =       "S. F. McCormick and G. D. Taylor and D. V. Pryor",
  title =        "Evaluation of Functions on Microcomputers: $ \ln (x)
                 $",
  journal =      j-COMPUT-MATH-APPL,
  volume =       "8",
  number =       "5",
  pages =        "389--392",
  month =        "????",
  year =         "1982",
  CODEN =        "CMAPDK",
  ISSN =         "0898-1221 (print), 1873-7668 (electronic)",
  ISSN-L =       "0898-1221",
  bibdate =      "Wed Mar 1 18:51:23 MST 2017",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 https://www.math.utah.edu/pub/tex/bib/computmathappl1980.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0898122182900323",
  acknowledgement = ack-nj # " and " # ack-nhfb,
  fjournal =     "Computers and Mathematics with Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/08981221/",
  xxmonth =      "(none)",
}


bibtype: incollection
filename: elefunt.bib
label: Mori:1982:ARS
author: S. Mori and C. Y. Suen
editor: Ching Y. Suen and Renato De Mori
booktitle: Computer analysis and perception: vol. I, Visual signals
title: Automatic recognition of symbols and architecture of the recognition unit
publisher: pub-CRC
address: pub-CRC:adr
pages: 17--40
year: 1982
ISBN: 0-8493-6305-5 (vol. 1), 0-8493-6306-3 (vol. 2) OR 0849363055 (vol. 1), 0849363063 (vol. 2)
LCCN: TA1650 .C65 1982
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
acknowledgement: ack-nhfb
bookpages: various
key: Scanners
rawauthor: S. Mori and C. Y. Suen
rawbooktitle: Computer analysis and perception: vol. I, {Visual} signals
raweditor: Ching Y. Suen and Renato {De Mori}
rawtitle: Automatic recognition of symbols and architecture of the recognition unit
ISBN13:
978-0-8493-6305-4 (vol. 1), 978-0-8493-6306-1 (vol. 2) OR 9780849363054 (vol. 1), 9780849363061 (vol. 2)

subject:
I. Computing Methodologies; I.5 PATTERN RECOGNITION; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; C. Computer Systems Organization; C.3 SPECIAL-PURPOSE AND APPLICATION-BASED SYSTEMS; B. Hardware; B.7 INTEGRATED CIRCUITS; I. Computing Methodologies; I.5 PATTERN RECOGNITION

entry:
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  author =       "S. Mori and C. Y. Suen",
  editor =       "Ching Y. Suen and Renato {De Mori}",
  key =          "Scanners",
  booktitle =    "Computer analysis and perception: vol. I, {Visual}
                 signals",
  title =        "Automatic recognition of symbols and architecture of
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  pages =        "17--40",
  year =         "1982",
  ISBN =         "0-8493-6305-5 (vol. 1), 0-8493-6306-3 (vol. 2)",
  ISBN-13 =      "978-0-8493-6305-4 (vol. 1), 978-0-8493-6306-1 (vol.
                 2)",
  LCCN =         "TA1650 .C65 1982",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  catcode =      "I.5; G.1.2; C.3; B.7; I.5.4",
  CRclass =      "I.5.2 Design Methodology; G.1.2 Approximation; G.1.2
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  descriptor =   "Computing Methodologies, PATTERN RECOGNITION, Design
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  genterm =      "documentation; theory; design",
  guideno =      "01691",
  subject =      "I. Computing Methodologies; I.5 PATTERN RECOGNITION;
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}


bibtype: article
filename: elefunt.bib
label: Oklobdzija:1982:LSR
author: V. G. Oklobdzija and M. D. Ercegovac
title: An On-Line Square Root Algorithm
journal: j-IEEE-TRANS-COMPUT
volume: C-31
number: 1
pages: 70--75
month: jan
monthnumber: 1
year: 1982
CODEN: ITCOB4
DOI: https://doi.org/10.1109/TC.1982.1675887
ISSN: 0018-9340 (print), 1557-9956 (electronic) OR 00189340 (print), 15579956 (electronic)
ISSNL: 0018-9340 OR 00189340
bibdate: Sun Jul 10 10:33:09 MDT 2011
bibtimestamp: 2011.07.10 10:33:09 MDT
URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1675887
fjournal: IEEE Transactions on Computers
acknowledgement: ack-nhfb
ajournal: IEEE Trans. Comput.
journalURL: http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12
rawauthor: V. G. Oklobdzija and M. D. Ercegovac
rawtitle: An On-Line Square Root Algorithm
bibsource:
https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib; https://www.math.utah.edu/pub/tex/bib/ieeetranscomput1980.bib

entry:
@Article{Oklobdzija:1982:LSR,
  author =       "V. G. Oklobdzija and M. D. Ercegovac",
  title =        "An On-Line Square Root Algorithm",
  journal =      j-IEEE-TRANS-COMPUT,
  volume =       "C-31",
  number =       "1",
  pages =        "70--75",
  month =        jan,
  year =         "1982",
  CODEN =        "ITCOB4",
  DOI =          "https://doi.org/10.1109/TC.1982.1675887",
  ISSN =         "0018-9340 (print), 1557-9956 (electronic)",
  ISSN-L =       "0018-9340",
  bibdate =      "Sun Jul 10 10:33:09 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 https://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib;
                 https://www.math.utah.edu/pub/tex/bib/ieeetranscomput1980.bib",
  URL =          "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1675887",
  acknowledgement = ack-nhfb,
  ajournal =     "IEEE Trans. Comput.",
  fjournal =     "IEEE Transactions on Computers",
  journal-URL =  "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12",
}


bibtype: article
filename: elefunt.bib
label: Ollin:1982:CFE
author: H. Z. Ollin and I. Gerst
title: Classes of functions with explicit best uniform approximations
journal: j-J-APPROX-THEORY
volume: 34
number: 3
pages: 264--276
month: mar
monthnumber: 3
year: 1982
CODEN: JAXTAZ
ISSN: 0021-9045 (print), 1096-0430 (electronic) OR 00219045 (print), 10960430 (electronic)
ISSNL: 0021-9045 OR 00219045
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: Journal of Approximation Theory
subject: G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00219045
rawauthor: H. Z. Ollin and I. Gerst
rawtitle: Classes of functions with explicit best uniform approximations
entry:
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  title =        "Classes of functions with explicit best uniform
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  number =       "3",
  pages =        "264--276",
  month =        mar,
  year =         "1982",
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  ISSN =         "0021-9045 (print), 1096-0430 (electronic)",
  ISSN-L =       "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
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  acknowledgement = ack-nhfb,
  catcode =      "G.1.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
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  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
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  fjournal =     "Journal of Approximation Theory",
  genterm =      "theory",
  guideno =      "06030",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219045",
  jrldate =      "March 1982",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}


bibtype: book
filename: elefunt.bib
label: Patel:1982:HND
author: Jagdish K. Patel and Campbell B. Read
title: Handbook of the Normal Distribution
volume: 40
publisher: pub-DEKKER
address: pub-DEKKER:adr
pages: ix + 337
year: 1982
ISBN: 0-8247-1541-1 OR 0824715411
ISBN13: 978-0-8247-1541-0 OR 9780824715410
LCCN: QA273.6 .P373
bibdate: Sat Dec 16 17:22:16 MST 2017
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; z3950.loc.gov:7090/Voyager
bibtimestamp: 2017.12.16 17:22:16 MST
series: Statistics, textbooks and monographs
subject: Gaussian distribution
acknowledgement: ack-nhfb
rawauthor: Jagdish K. Patel and Campbell B. Read
rawtitle: Handbook of the Normal Distribution
entry:
@Book{Patel:1982:HND,
  author =       "Jagdish K. Patel and Campbell B. Read",
  title =        "Handbook of the Normal Distribution",
  volume =       "40",
  publisher =    pub-DEKKER,
  address =      pub-DEKKER:adr,
  pages =        "ix + 337",
  year =         "1982",
  ISBN =         "0-8247-1541-1",
  ISBN-13 =      "978-0-8247-1541-0",
  LCCN =         "QA273.6 .P373",
  bibdate =      "Sat Dec 16 17:22:16 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Statistics, textbooks and monographs",
  acknowledgement = ack-nhfb,
  subject =      "Gaussian distribution",
}


bibtype: article
filename: elefunt.bib
label: Piessens:1982:ABF
author: R. Piessens and Maria Branders
title: Approximation for Bessel functions and their application in the computation of Hankel transforms
journal: j-COMPUT-MATH-APPL
volume: 8
number: 4
pages: 305--311
year: 1982
CODEN: CMAPDK
ISSN: 0898-1221 (print), 1873-7668 (electronic) OR 08981221 (print), 18737668 (electronic)
ISSNL: 0898-1221 OR 08981221
bibdate: Wed Mar 1 18:51:22 MST 2017
bibtimestamp: 2017.03.01 18:51:22 MST
URL: http://www.sciencedirect.com/science/article/pii/0898122182900128
fjournal: Computers and Mathematics with Applications
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/08981221/
rawauthor: R. Piessens and Maria Branders
rawtitle:
Approximation for {Bessel} functions and their application in the computation of {Hankel} transforms

entry:
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  author =       "R. Piessens and Maria Branders",
  title =        "Approximation for {Bessel} functions and their
                 application in the computation of {Hankel} transforms",
  journal =      j-COMPUT-MATH-APPL,
  volume =       "8",
  number =       "4",
  pages =        "305--311",
  month =        "????",
  year =         "1982",
  CODEN =        "CMAPDK",
  ISSN =         "0898-1221 (print), 1873-7668 (electronic)",
  ISSN-L =       "0898-1221",
  bibdate =      "Wed Mar 1 18:51:22 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/computmathappl1980.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0898122182900128",
  acknowledgement = ack-nhfb,
  fjournal =     "Computers and Mathematics with Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/08981221/",
}


bibtype: article
filename: elefunt.bib
label: Piessens:1982:ACB
author: R. Piessens
title: Automatic computation of Bessel function integrals
journal: j-COMP-PHYS-COMM
volume: 25
number: 3
pages: 289--295
month: mar
monthnumber: 3
year: 1982
CODEN: CPHCBZ
DOI: https://doi.org/10.1016/0010-4655(82)90024-8
ISSN: 0010-4655 (print), 1879-2944 (electronic) OR 00104655 (print), 18792944 (electronic)
ISSNL: 0010-4655 OR 00104655
bibdate: Mon Feb 13 10:28:01 MST 2012
bibtimestamp: 2012.02.13 10:28:01 MST
URL: http://www.sciencedirect.com/science/article/pii/0010465582900248
fjournal: Computer Physics Communications
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00104655
rawauthor: R. Piessens
rawtitle: Automatic computation of {Bessel} function integrals
entry:
@Article{Piessens:1982:ACB,
  author =       "R. Piessens",
  title =        "Automatic computation of {Bessel} function integrals",
  journal =      j-COMP-PHYS-COMM,
  volume =       "25",
  number =       "3",
  pages =        "289--295",
  month =        mar,
  year =         "1982",
  CODEN =        "CPHCBZ",
  DOI =          "https://doi.org/10.1016/0010-4655(82)90024-8",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Mon Feb 13 10:28:01 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0010465582900248",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}


bibtype: article
filename: elefunt.bib
label: Rack:1982:GIV
author: H.-J Rack
title: A generalization of an inequality of V. Markov to multivariate polynomials
journal: j-J-APPROX-THEORY
volume: 35
number: 1
pages: 94--97
month: may
monthnumber: 5
year: 1982
CODEN: JAXTAZ
ISSN: 0021-9045 (print), 1096-0430 (electronic) OR 00219045 (print), 10960430 (electronic)
ISSNL: 0021-9045 OR 00219045
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: Journal of Approximation Theory
subject: G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00219045
rawauthor: H.-J Rack
rawtitle: A generalization of an inequality of {V. Markov} to multivariate polynomials
entry:
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  author =       "H.-J Rack",
  title =        "A generalization of an inequality of {V. Markov} to
                 multivariate polynomials",
  journal =      j-J-APPROX-THEORY,
  volume =       "35",
  number =       "1",
  pages =        "94--97",
  month =        may,
  year =         "1982",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045 (print), 1096-0430 (electronic)",
  ISSN-L =       "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  catcode =      "G.1.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
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  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
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  fjournal =     "Journal of Approximation Theory",
  genterm =      "theory",
  guideno =      "06047",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219045",
  jrldate =      "May 1982",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}


bibtype: article
filename: elefunt.bib
label: Rix:1982:UQA
author: P. Rix
title: Universeller Quadratwurzel-Algorithmus toenglish Universal Square Root Algorithms endtoenglish
journal: j-ELECTRONIK
volume: 23
pages: 81--82
year: 1982
CODEN: EKRKAR
ISSN: 0013-5658 OR 00135658
bibdate: Fri Sep 16 16:30:41 1994
bibtimestamp: 1994.09.16 16:30:41 ???
fjournal: Elektronik
acknowledgement: ack-nj
rawauthor: P. Rix
rawtitle:
{Universeller Quad\-rat\-wurz\-el-Al\-go\-rith\-mus} \toenglish {Universal Square Root Algorithms} \endtoenglish

entry:
@Article{Rix:1982:UQA,
  author =       "P. Rix",
  title =        "{Universeller Quad\-rat\-wurz\-el-Al\-go\-rith\-mus}
                 \toenglish {Universal Square Root Algorithms}
                 \endtoenglish",
  journal =      j-ELECTRONIK,
  volume =       "23",
  pages =        "81--82",
  year =         "1982",
  CODEN =        "EKRKAR",
  ISSN =         "0013-5658",
  bibdate =      "Fri Sep 16 16:30:41 1994",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nj,
  fjournal =     "Elektronik",
}


bibtype: phdthesis
filename: elefunt.bib
label: Rockey:1982:DMS
author: S. A. Rockey
type: Ph.D Thesis
school: Brown University
address: Providence, RI
pages: 208
year: 1982
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
acknowledgement: ack-nhfb
rawauthor: S. A. Rockey
title:
Discrete methods of state approximation, parameter identification and optimal control for hereditary systems

subject:
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS

rawtitle:
Discrete methods of state approximation, parameter identification and optimal control for hereditary systems

entry:
@PhdThesis{Rockey:1982:DMS,
  author =       "S. A. Rockey",
  title =        "Discrete methods of state approximation, parameter
                 identification and optimal control for hereditary
                 systems",
  type =         "{Ph.D} Thesis",
  school =       "Brown University",
  address =      "Providence, RI",
  pages =        "208",
  year =         "1982",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  catcode =      "G.1.2; G.1.2; G.1.5",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation; G.1.2 Approximation; G.1.2 Linear
                 approximation; G.1.5 Roots of Nonlinear Equations;
                 G.1.5 Convergence",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Linear approximation; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Roots of Nonlinear
                 Equations, Convergence",
  guideno =      "15449",
  source =       "UMI order no. DA8228325",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
                 Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}


bibtype: article
filename: elefunt.bib
label: Sommer:1982:EPL
author: M. Sommer
journal: j-J-APPROX-THEORY
volume: 34
number: 2
pages: 115--130
month: feb
monthnumber: 2
year: 1982
CODEN: JAXTAZ
ISSN: 0021-9045 (print), 1096-0430 (electronic) OR 00219045 (print), 10960430 (electronic)
ISSNL: 0021-9045 OR 00219045
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: Journal of Approximation Theory
subject: G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00219045
rawauthor: M. Sommer
title:
Existence of pointwise-Lipschitz-continuous selections of the metric projection for a class of $Z$-spaces

rawtitle:
Existence of pointwise-{Lipschitz}-continuous selections of the metric projection for a class of {$Z$}-spaces

entry:
@Article{Sommer:1982:EPL,
  author =       "M. Sommer",
  title =        "Existence of pointwise-{Lipschitz}-continuous
                 selections of the metric projection for a class of
                 {$Z$}-spaces",
  journal =      j-J-APPROX-THEORY,
  volume =       "34",
  number =       "2",
  pages =        "115--130",
  month =        feb,
  year =         "1982",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045 (print), 1096-0430 (electronic)",
  ISSN-L =       "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  catcode =      "G.1.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation",
  fjournal =     "Journal of Approximation Theory",
  genterm =      "theory",
  guideno =      "06018",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219045",
  jrldate =      "Feb. 1982",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}


bibtype: phdthesis
filename: elefunt.bib
label: Wang:1982:AME
author: J.-L Wang
title: Asymptotically minimax estimators for distributions with increasing failure rate
type: Ph.D Thesis
school: University of California, Berkeley
address: Berkeley, CA, USA
pages: 42
year: 1982
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
subject: G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS
acknowledgement: ack-nhfb
rawauthor: J.-L Wang
rawtitle: Asymptotically minimax estimators for distributions with increasing failure rate
entry:
@PhdThesis{Wang:1982:AME,
  author =       "J.-L Wang",
  title =        "Asymptotically minimax estimators for distributions
                 with increasing failure rate",
  type =         "{Ph.D} Thesis",
  school =       "University of California, Berkeley",
  address =      "Berkeley, CA, USA",
  pages =        "42",
  year =         "1982",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  catcode =      "G.1.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
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  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation",
  genterm =      "design",
  guideno =      "15084",
  source =       "UMI order no. DA8300696",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}


bibtype: article
filename: elefunt.bib
label: Whitley:1982:MBI
author: R. Whitley
title: Markov and Bernstein's inequalities, and compact and strictly singular operators
journal: j-J-APPROX-THEORY
volume: 34
number: 3
pages: 277--285
month: mar
monthnumber: 3
year: 1982
CODEN: JAXTAZ
ISSN: 0021-9045 (print), 1096-0430 (electronic) OR 00219045 (print), 10960430 (electronic)
ISSNL: 0021-9045 OR 00219045
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: Journal of Approximation Theory
subject: G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00219045
rawauthor: R. Whitley
rawtitle: {Markov} and {Bernstein}'s inequalities, and compact and strictly singular operators
entry:
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  author =       "R. Whitley",
  title =        "{Markov} and {Bernstein}'s inequalities, and compact
                 and strictly singular operators",
  journal =      j-J-APPROX-THEORY,
  volume =       "34",
  number =       "3",
  pages =        "277--285",
  month =        mar,
  year =         "1982",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045 (print), 1096-0430 (electronic)",
  ISSN-L =       "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  catcode =      "G.1.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
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  fjournal =     "Journal of Approximation Theory",
  genterm =      "theory",
  guideno =      "06031",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219045",
  jrldate =      "March 1982",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}


bibtype: book
filename: elefunt.bib
label: Wilkes:1982:PPE
author: M. V. (Maurice Vincent) Wilkes and David J. Wheeler and Stanley Gill
volume: 1
publisher: pub-TOMASH
address: pub-TOMASH:adr
pages: xxxi + 167
year: 1982
ISBN: 0-262-23118-2 (MIT Press 1984), 0-938228-03-X OR 0262231182 (MIT Press 1984), 093822803X
LCCN: QA76.6 .W545 1982
bibdate: Mon Feb 10 11:33:59 MST 2020
bibtimestamp: 2020.02.10 11:33:59 MST
note: With a new introduction by Martin Campbell-Kelly.
series: Charles Babbage Institute reprint series for the history of computing
acknowledgement: ack-nhfb
rawauthor: M. V. (Maurice Vincent) Wilkes and David J. Wheeler and Stanley Gill
rawnote: With a new introduction by Martin Campbell-Kelly.
title:
The Preparation of Programs for an Electronic Digital Computer: with Special Reference to the EDSAC and the Use of a Library of Subroutines

ISBN13:
978-0-262-23118-3 (MIT Press 1984), 978-0-938228-03-5 OR 9780262231183 (MIT Press 1984), 9780938228035

bibsource:
fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib

rawtitle:
The Preparation of Programs for an Electronic Digital Computer: with Special Reference to the {EDSAC} and the Use of a Library of Subroutines

entry:
@Book{Wilkes:1982:PPE,
  author =       "M. V. (Maurice Vincent) Wilkes and David J. Wheeler
                 and Stanley Gill",
  title =        "The Preparation of Programs for an Electronic Digital
                 Computer: with Special Reference to the {EDSAC} and the
                 Use of a Library of Subroutines",
  volume =       "1",
  publisher =    pub-TOMASH,
  address =      pub-TOMASH:adr,
  pages =        "xxxi + 167",
  year =         "1982",
  ISBN =         "0-262-23118-2 (MIT Press 1984), 0-938228-03-X",
  ISBN-13 =      "978-0-262-23118-3 (MIT Press 1984),
                 978-0-938228-03-5",
  LCCN =         "QA76.6 .W545 1982",
  bibdate =      "Mon Feb 10 11:33:59 MST 2020",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  note =         "With a new introduction by Martin Campbell-Kelly.",
  series =       "Charles Babbage Institute reprint series for the
                 history of computing",
  acknowledgement = ack-nhfb,
}


bibtype: article
filename: elefunt.bib
label: Wills:1982:RCA
author: C. A. Wills and J. M. Blair and P. L. Ragde
journal: j-MATH-COMPUT
volume: 39
number: 160
pages: 617--623
month: oct
monthnumber: 10
year: 1982
CODEN: MCMPAF
ISSN: 0025-5718 (print), 1088-6842 (electronic) OR 00255718 (print), 10886842 (electronic)
ISSNL: 0025-5718 OR 00255718
MRclass: 65D20 (33A40 41A50)
MRnumber: 83j:65030
MRreviewer: C. W. Clenshaw
bibdate: Tue Oct 13 08:06:19 MDT 1998
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; JSTOR database
bibtimestamp: 1998.10.13 08:06:19 MDT
fjournal: Mathematics of Computation
acknowledgement: ack-nhfb
corpsource: AEG Ltd., Chalk River Nuclear Labs., Ont., Canada
journalURL: http://www.ams.org/mcom/
treatment: T Theoretical or Mathematical
rawauthor: C. A. Wills and J. M. Blair and P. L. Ragde
title:
Rational Chebyshev approximations for the Bessel functions $ J_0 (x) $, $ J_1 (x) $, $ Y_0 (x) $, $ Y_1 (x) $

keywords:
approximations; Bessel functions; Chebyshev; Chebyshev approximation; formulae; McMahon asymptotic; minimax techniques; near-minimax rational approximation

classcodes:
B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)

rawtitle:
Rational {Chebyshev} approximations for the {Bessel} functions $ {J}_0 (x) $, $ {J}_1 (x) $, $ {Y}_0 (x) $, $ {Y}_1 (x) $

entry:
@Article{Wills:1982:RCA,
  author =       "C. A. Wills and J. M. Blair and P. L. Ragde",
  title =        "Rational {Chebyshev} approximations for the {Bessel}
                 functions $ {J}_0 (x) $, $ {J}_1 (x) $, $ {Y}_0 (x) $,
                 $ {Y}_1 (x) $",
  journal =      j-MATH-COMPUT,
  volume =       "39",
  number =       "160",
  pages =        "617--623",
  month =        oct,
  year =         "1982",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65D20 (33A40 41A50)",
  MRnumber =     "83j:65030",
  MRreviewer =   "C. W. Clenshaw",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0260 (Optimisation techniques); B0290F (Interpolation
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  corpsource =   "AEG Ltd., Chalk River Nuclear Labs., Ont., Canada",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "approximations; Bessel functions; Chebyshev; Chebyshev
                 approximation; formulae; McMahon asymptotic; minimax
                 techniques; near-minimax rational approximation",
  treatment =    "T Theoretical or Mathematical",
}


bibtype: phdthesis
filename: elefunt.bib
label: Wimp:1982:CMS
author: Jet (Jesse Jet) Wimp
title: Computational methods and special functions
type: D.Sc. thesis
school: University of Edinburgh
address: Edinburgh, UK
pages: 617--623
year: 1982
bibdate: Thu Dec 01 11:15:32 2011
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2011.12.01 11:15:32 ???
acknowledgement: ack-nhfb
rawauthor: Jet (Jesse Jet) Wimp
rawtitle: Computational methods and special functions
entry:
@PhdThesis{Wimp:1982:CMS,
  author =       "Jet (Jesse Jet) Wimp",
  title =        "Computational methods and special functions",
  type =         "{D.Sc.} thesis",
  school =       "University of Edinburgh",
  address =      "Edinburgh, UK",
  year =         "1982",
  bibdate =      "Thu Dec 01 11:15:32 2011",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}


bibtype: article
filename: elefunt.bib
label: Amos:1983:APFa
author: D. E. Amos
title: Algorithm 609: a Portable FORTRAN Subroutine for the Bickley Functions $ hbox Ki_n(x) $
journal: j-TOMS
volume: 9
number: 4
pages: 480--493
month: dec
monthnumber: 12
year: 1983
CODEN: ACMSCU
DOI: https://doi.org/10.1145/356056.356064
ISSN: 0098-3500 (print), 1557-7295 (electronic) OR 00983500 (print), 15577295 (electronic)
ISSNL: 0098-3500 OR 00983500
MRclass: 65D20 (33A70 65-04)
MRnumber: 87a:65044
bibdate: Sun Sep 4 20:00:39 1994
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/toms.bib
bibtimestamp: 1994.09.04 20:00:39 ???
fjournal: ACM Transactions on Mathematical Software (TOMS)
acknowledgement: ack-nhfb
journalURL: https://dl.acm.org/loi/toms
reviewer: Marietta J. Tretter
rawauthor: D. E. Amos
rawtitle: {Algorithm 609}: a Portable {FORTRAN} Subroutine for the {Bickley} Functions {$ \hbox {Ki}_n(x) $}
entry:
@Article{Amos:1983:APFa,
  author =       "D. E. Amos",
  title =        "{Algorithm 609}: a Portable {FORTRAN} Subroutine for
                 the {Bickley} Functions {$ \hbox {Ki}_n(x) $}",
  journal =      j-TOMS,
  volume =       "9",
  number =       "4",
  pages =        "480--493",
  month =        dec,
  year =         "1983",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/356056.356064",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  MRclass =      "65D20 (33A70 65-04)",
  MRnumber =     "87a:65044",
  bibdate =      "Sun Sep 4 20:00:39 1994",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/toms.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
  journal-URL =  "https://dl.acm.org/loi/toms",
  reviewer =     "Marietta J. Tretter",
}


bibtype: article
filename: elefunt.bib
label: Amos:1983:APFb
author: Donald E. Amos
title: Algorithm 610: a Portable FORTRAN Subroutine for Derivatives of the Psi Function
journal: j-TOMS
volume: 9
number: 4
pages: 494--502
month: dec
monthnumber: 12
year: 1983
CODEN: ACMSCU
DOI: https://doi.org/10.1145/356056.356065
ISSN: 0098-3500 (print), 1557-7295 (electronic) OR 00983500 (print), 15577295 (electronic)
ISSNL: 0098-3500 OR 00983500
MRclass: 65D20
MRnumber: 791 979
bibdate: Sun Sep 4 20:00:39 1994
bibtimestamp: 1994.09.04 20:00:39 ???
fjournal: ACM Transactions on Mathematical Software (TOMS)
acknowledgement: ack-nhfb
journalURL: https://dl.acm.org/loi/toms
rawauthor: Donald E. Amos
rawtitle: {Algorithm 610}: a Portable {FORTRAN} Subroutine for Derivatives of the Psi Function
bibsource:
ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/toms.bib

subject:
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.m MISCELLANEOUS; D. Software; D.3 PROGRAMMING LANGUAGES

entry:
@Article{Amos:1983:APFb,
  author =       "Donald E. Amos",
  title =        "{Algorithm 610}: a Portable {FORTRAN} Subroutine for
                 Derivatives of the Psi Function",
  journal =      j-TOMS,
  volume =       "9",
  number =       "4",
  pages =        "494--502",
  month =        dec,
  year =         "1983",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/356056.356065",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  MRclass =      "65D20",
  MRnumber =     "791 979",
  bibdate =      "Sun Sep 4 20:00:39 1994",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/toms.bib",
  acknowledgement = ack-nhfb,
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  CRclass =      "G.1.0 General; G.1.0 Numerical algorithms; G.1.m
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  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS, General,
                 Numerical algorithms; Mathematics of Computing,
                 NUMERICAL ANALYSIS, Miscellaneous; Mathematics of
                 Computing, MISCELLANEOUS; Software, PROGRAMMING
                 LANGUAGES, Language Classifications, FORTRAN",
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
  genterm =      "ALGORITHMS",
  guideno =      "02212",
  journal-URL =  "https://dl.acm.org/loi/toms",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
                 Mathematics of Computing; G.m MISCELLANEOUS; D.
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}


bibtype: article
filename: elefunt.bib
label: Benton:1983:CZT
author: T. C. Benton
title: Common Zeros of Two Bessel Functions. Part II. Approximations and Tables
journal: j-MATH-COMPUT
volume: 41
number: 163
pages: 203--217
month: jul
monthnumber: 7
year: 1983
CODEN: MCMPAF
ISSN: 0025-5718 (print), 1088-6842 (electronic) OR 00255718 (print), 10886842 (electronic)
ISSNL: 0025-5718 OR 00255718
MRclass: 33A40 (65A05)
MRnumber: 85a:33010
bibdate: Tue Oct 13 08:06:19 MDT 1998
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; JSTOR database
bibtimestamp: 1998.10.13 08:06:19 MDT
fjournal: Mathematics of Computation
keywords: Bessel functions; computer program; poles and zeros
acknowledgement: ack-nhfb
classcodes: B0220 (Mathematical analysis); C1120 (Mathematical analysis)
corpsource: Dept. of Math., Pennsylvania State Univ., University Park, PA, USA
journalURL: http://www.ams.org/mcom/
treatment: T Theoretical or Mathematical
rawauthor: T. C. Benton
rawtitle: Common Zeros of Two {Bessel} Functions. {Part II}. {Approximations} and Tables
entry:
@Article{Benton:1983:CZT,
  author =       "T. C. Benton",
  title =        "Common Zeros of Two {Bessel} Functions. {Part II}.
                 {Approximations} and Tables",
  journal =      j-MATH-COMPUT,
  volume =       "41",
  number =       "163",
  pages =        "203--217",
  month =        jul,
  year =         "1983",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "33A40 (65A05)",
  MRnumber =     "85a:33010",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0220 (Mathematical analysis); C1120 (Mathematical
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  corpsource =   "Dept. of Math., Pennsylvania State Univ., University
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  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "Bessel functions; computer program; poles and zeros",
  treatment =    "T Theoretical or Mathematical",
}


bibtype: article
filename: elefunt.bib
label: Bowman:1983:CFP
author: K. O. Bowman and L. R. Shenton
title: Continued fractions and the polygamma functions
journal: j-J-COMPUT-APPL-MATH
volume: 9
number: 1
pages: 29--39
month: mar
monthnumber: 3
year: 1983
CODEN: JCAMDI
ISSN: 0377-0427 (print), 1879-1778 (electronic) OR 03770427 (print), 18791778 (electronic)
ISSNL: 0377-0427 OR 03770427
bibdate: Sat Feb 25 11:59:24 MST 2017
bibtimestamp: 2017.02.25 11:59:24 MST
URL: http://www.sciencedirect.com/science/article/pii/0377042783900262
fjournal: Journal of Computational and Applied Mathematics
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/03770427
rawauthor: K. O. Bowman and L. R. Shenton
rawtitle: Continued fractions and the polygamma functions
entry:
@Article{Bowman:1983:CFP,
  author =       "K. O. Bowman and L. R. Shenton",
  title =        "Continued fractions and the polygamma functions",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "9",
  number =       "1",
  pages =        "29--39",
  month =        mar,
  year =         "1983",
  CODEN =        "JCAMDI",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  bibdate =      "Sat Feb 25 11:59:24 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputapplmath1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0377042783900262",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}


bibtype: article
filename: elefunt.bib
label: Brezinski:1983:CAE
author: C. Brezinski and J. P. Delahaye and B. Germain-Bonne
title: Convergence acceleration by extraction of linear subsequences
journal: j-SIAM-J-NUMER-ANAL
volume: 20
number: 6
pages: 1099--1105
month: dec
monthnumber: 12
year: 1983
CODEN: SJNAAM
DOI: https://doi.org/10.1137/0720079
ISSN: 0036-1429 (print), 1095-7170 (electronic) OR 00361429 (print), 10957170 (electronic)
ISSNL: 0036-1429 OR 00361429
MRclass: 65B99 (40A05)
MRnumber: 723826 (85g:65014)
MRreviewer: John H. McCabe
bibdate: Thu Dec 1 17:36:45 2011
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; JSTOR database
bibtimestamp: 2011.12.01 17:36:45 ???
fjournal: SIAM Journal on Numerical Analysis
keywords: convergence acceleration
acknowledgement: ack-nhfb
journalURL: http://epubs.siam.org/sinum
rawauthor: C. Brezinski and J. P. Delahaye and B. Germain-Bonne
rawtitle: Convergence acceleration by extraction of linear subsequences
entry:
@Article{Brezinski:1983:CAE,
  author =       "C. Brezinski and J. P. Delahaye and B. Germain-Bonne",
  title =        "Convergence acceleration by extraction of linear
                 subsequences",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "20",
  number =       "6",
  pages =        "1099--1105",
  month =        dec,
  year =         "1983",
  CODEN =        "SJNAAM",
  DOI =          "https://doi.org/10.1137/0720079",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65B99 (40A05)",
  MRnumber =     "723826 (85g:65014)",
  MRreviewer =   "John H. McCabe",
  bibdate =      "Thu Dec 1 17:36:45 2011",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Numerical Analysis",
  journal-URL =  "http://epubs.siam.org/sinum",
  keywords =     "convergence acceleration",
}


bibtype: article
filename: elefunt.bib
label: Brezinski:1983:ECC
author: Claude Brezinski
title: Error control in convergence acceleration processes
journal: j-IMA-J-NUMER-ANAL
volume: 3
number: 1
pages: 65--80
year: 1983
CODEN: IJNADH
DOI: https://doi.org/10.1093/imanum/3.1.65
ISSN: 0272-4979 (print), 1464-3642 (electronic) OR 02724979 (print), 14643642 (electronic)
ISSNL: 0272-4979 OR 02724979
MRclass: 65B99 (65D32 65G05)
MRnumber: 705081 (85a:65004)
MRreviewer: John P. Coleman
bibdate: Thu Dec 1 17:36:45 2011
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; MathSciNet database
bibtimestamp: 2011.12.01 17:36:45 ???
fjournal: IMA Journal of Numerical Analysis
keywords: convergence acceleration
acknowledgement: ack-nhfb
journalURL: http://imajna.oxfordjournals.org/content/by/year
rawauthor: Claude Brezinski
rawtitle: Error control in convergence acceleration processes
entry:
@Article{Brezinski:1983:ECC,
  author =       "Claude Brezinski",
  title =        "Error control in convergence acceleration processes",
  journal =      j-IMA-J-NUMER-ANAL,
  volume =       "3",
  number =       "1",
  pages =        "65--80",
  year =         "1983",
  CODEN =        "IJNADH",
  DOI =          "https://doi.org/10.1093/imanum/3.1.65",
  ISSN =         "0272-4979 (print), 1464-3642 (electronic)",
  ISSN-L =       "0272-4979",
  MRclass =      "65B99 (65D32 65G05)",
  MRnumber =     "705081 (85a:65004)",
  MRreviewer =   "John P. Coleman",
  bibdate =      "Thu Dec 1 17:36:45 2011",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "IMA Journal of Numerical Analysis",
  journal-URL =  "http://imajna.oxfordjournals.org/content/by/year",
  keywords =     "convergence acceleration",
}


bibtype: article
filename: elefunt.bib
label: Cash:1983:BRKa
author: J. R. Cash
journal: j-MATH-COMPUT
volume: 40
number: 161
pages: 175--191
month: jan
monthnumber: 1
year: 1983
CODEN: MCMPAF
ISSN: 0025-5718 (print), 1088-6842 (electronic) OR 00255718 (print), 10886842 (electronic)
ISSNL: 0025-5718 OR 00255718
MRclass: 65L05
MRnumber: 84d:65044a
MRreviewer: W. C. Rheinboldt
bibdate: Tue Oct 13 08:06:19 MDT 1998
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; JSTOR database
bibtimestamp: 1998.10.13 08:06:19 MDT
fjournal: Mathematics of Computation
acknowledgement: ack-nhfb
corpsource: Dept. of Math., Imperial Coll., London, UK
journalURL: http://www.ams.org/mcom/
treatment: T Theoretical or Mathematical
rawauthor: J. R. Cash
title:
Block Runge--Kutta Methods for the Numerical Integration of Initial Value Problems in Ordinary Differential Equations. Part I. The Nonstiff Case

keywords:
approximate numerical integration; approximation theory; block implicit formulae; block Runge--Kutta formulae; C. W. Gear; differential equations; equations; first order; formulae; initial value; initial value problems; integration; linear multistep methods; nonstiff problems; order; ordinary differential; problems; Runge--Kutta methods; Runge--Kutta starters; stepsize; stiff problems; systems; variable order; variable order block explicit

classcodes:
B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation); C4170 (Differential equations)

rawtitle:
Block {Runge--Kutta} Methods for the Numerical Integration of Initial Value Problems in Ordinary Differential Equations. {Part I}. {The} Nonstiff Case

entry:
@Article{Cash:1983:BRKa,
  author =       "J. R. Cash",
  title =        "Block {Runge--Kutta} Methods for the Numerical
                 Integration of Initial Value Problems in Ordinary
                 Differential Equations. {Part I}. {The} Nonstiff Case",
  journal =      j-MATH-COMPUT,
  volume =       "40",
  number =       "161",
  pages =        "175--191",
  month =        jan,
  year =         "1983",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65L05",
  MRnumber =     "84d:65044a",
  MRreviewer =   "W. C. Rheinboldt",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
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  acknowledgement = ack-nhfb,
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                 equations)",
  corpsource =   "Dept. of Math., Imperial Coll., London, UK",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "approximate numerical integration; approximation
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                 methods; nonstiff problems; order; ordinary
                 differential; problems; Runge--Kutta methods;
                 Runge--Kutta starters; stepsize; stiff problems;
                 systems; variable order; variable order block
                 explicit",
  treatment =    "T Theoretical or Mathematical",
}


bibtype: article
filename: elefunt.bib
label: Cody:1983:ASM
author: W. J. Cody
title: Algorithm 597: Sequence of Modified Bessel Functions of the First Kind
journal: j-TOMS
volume: 9
number: 2
pages: 242--245
month: jun
monthnumber: 6
year: 1983
CODEN: ACMSCU
ISSN: 0098-3500 (print), 1557-7295 (electronic) OR 00983500 (print), 15577295 (electronic)
ISSNL: 0098-3500 OR 00983500
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: ACM Transactions on Mathematical Software (TOMS)
keywords: algorithms
acknowledgement: ack-nhfb
journalURL: https://dl.acm.org/loi/toms
rawauthor: W. J. Cody
rawtitle: Algorithm 597: Sequence of Modified {Bessel} Functions of the First Kind
subject:
G.1.2 Mathematics of Computing, NUMERICAL ANALYSIS, Approximation, Elementary function approximation G Mathematics of Computing, MISCELLANEOUS

entry:
@Article{Cody:1983:ASM,
  author =       "W. J. Cody",
  title =        "Algorithm 597: Sequence of Modified {Bessel} Functions
                 of the First Kind",
  journal =      j-TOMS,
  volume =       "9",
  number =       "2",
  pages =        "242--245",
  month =        jun,
  year =         "1983",
  CODEN =        "ACMSCU",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  catcode =      "G.1.2; G",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
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  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
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                 Mathematics of Computing, MISCELLANEOUS",
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
  genterm =      "algorithms",
  guideno =      "02186",
  journal-URL =  "https://dl.acm.org/loi/toms",
  jrldate =      "June 1983",
  keywords =     "algorithms",
  subject =      "G.1.2 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation G
                 Mathematics of Computing, MISCELLANEOUS",
}


bibtype: article
filename: elefunt.bib
label: Coleman:1983:CEB
author: J. P. Coleman and A. J. Monaghan
title: Chebyshev expansions for the Bessel function $ J_n(z) $ in the complex plane
journal: j-MATH-COMPUT
volume: 40
number: 161
pages: 343--366
month: jan
monthnumber: 1
year: 1983
CODEN: MCMPAF
ISSN: 0025-5718 (print), 1088-6842 (electronic) OR 00255718 (print), 10886842 (electronic)
ISSNL: 0025-5718 OR 00255718
MRclass: 65A05 (30E10 33A40 65D20)
MRnumber: 84c:65013
MRreviewer: C. W. Clenshaw
bibdate: Tue Oct 13 08:06:19 MDT 1998
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; JSTOR database
bibtimestamp: 1998.10.13 08:06:19 MDT
fjournal: Mathematics of Computation
acknowledgement: ack-nhfb
journalURL: http://www.ams.org/mcom/
rawauthor: J. P. Coleman and A. J. Monaghan
rawtitle: {Chebyshev} expansions for the {Bessel} function $ {J}_n(z) $ in the complex plane
entry:
@Article{Coleman:1983:CEB,
  author =       "J. P. Coleman and A. J. Monaghan",
  title =        "{Chebyshev} expansions for the {Bessel} function $
                 {J}_n(z) $ in the complex plane",
  journal =      j-MATH-COMPUT,
  volume =       "40",
  number =       "161",
  pages =        "343--366",
  month =        jan,
  year =         "1983",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65A05 (30E10 33A40 65D20)",
  MRnumber =     "84c:65013",
  MRreviewer =   "C. W. Clenshaw",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
}


bibtype: article
filename: elefunt.bib
label: Cruz:1983:MPR
author: Andres Cruz and Javier Sesma
title: Modulus and phase of the reduced logarithmic derivative of the Hankel function
journal: j-MATH-COMPUT
volume: 41
number: 164
pages: 597--605
month: oct
monthnumber: 10
year: 1983
CODEN: MCMPAF
ISSN: 0025-5718 (print), 1088-6842 (electronic) OR 00255718 (print), 10886842 (electronic)
ISSNL: 0025-5718 OR 00255718
MRclass: 33A40 (65H05 81F10)
MRnumber: 85b:33006
MRreviewer: H. E. Fettis
bibdate: Tue Oct 13 08:06:19 MDT 1998
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; JSTOR database
bibtimestamp: 1998.10.13 08:06:19 MDT
fjournal: Mathematics of Computation
acknowledgement: ack-nhfb
journalURL: http://www.ams.org/mcom/
rawauthor: Andr{\'e}s Cruz and Javier Sesma
rawtitle: Modulus and phase of the reduced logarithmic derivative of the {Hankel} function
entry:
@Article{Cruz:1983:MPR,
  author =       "Andr{\'e}s Cruz and Javier Sesma",
  title =        "Modulus and phase of the reduced logarithmic
                 derivative of the {Hankel} function",
  journal =      j-MATH-COMPUT,
  volume =       "41",
  number =       "164",
  pages =        "597--605",
  month =        oct,
  year =         "1983",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "33A40 (65H05 81F10)",
  MRnumber =     "85b:33006",
  MRreviewer =   "H. E. Fettis",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
}


bibtype: article
filename: elefunt.bib
label: Cusick:1983:CCL
author: David Cusick
title: Computers & Calculators: a Logarithm Algorithm for Four-Function Calculators
journal: j-TWO-YEAR-COLL-MATH-J
volume: 14
number: 4
pages: 322--324
month: sep
monthnumber: 9
year: 1983
DOI: https://doi.org/10.1080/00494925.1983.11972706
ISSN: 0049-4925 (print), 2325-9116 (electronic) OR 00494925 (print), 23259116 (electronic)
ISSNL: 0049-4925 OR 00494925
bibdate: Thu Feb 14 09:49:45 MST 2019
bibtimestamp: 2019.02.14 09:49:45 MST
fjournal: Two-Year College Mathematics Journal
acknowledgement: ack-nhfb
journalURL: https://maa.tandfonline.com/loi/ucmj20; http://www.jstor.org/journals/00494925.html
onlinedate: 30 Jan 2018
rawauthor: David Cusick
rawtitle: Computers \& Calculators: a Logarithm Algorithm for Four-Function Calculators
bibsource:
https://www.math.utah.edu/pub/tex/bib/collegemathj.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib

URL:
http://www.tandfonline.com/doi/abs/10.1080/00494925.1983.11972706; https://www.jstor.org/stable/3027283

entry:
@Article{Cusick:1983:CCL,
  author =       "David Cusick",
  title =        "Computers \& Calculators: a Logarithm Algorithm for
                 Four-Function Calculators",
  journal =      j-TWO-YEAR-COLL-MATH-J,
  volume =       "14",
  number =       "4",
  pages =        "322--324",
  month =        sep,
  year =         "1983",
  CODEN =        "????",
  DOI =          "https://doi.org/10.1080/00494925.1983.11972706",
  ISSN =         "0049-4925 (print), 2325-9116 (electronic)",
  ISSN-L =       "0049-4925",
  bibdate =      "Thu Feb 14 09:49:45 MST 2019",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/collegemathj.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.tandfonline.com/doi/abs/10.1080/00494925.1983.11972706;
                 https://www.jstor.org/stable/3027283",
  acknowledgement = ack-nhfb,
  fjournal =     "Two-Year College Mathematics Journal",
  journal-URL =  "https://maa.tandfonline.com/loi/ucmj20;
                 http://www.jstor.org/journals/00494925.html",
  onlinedate =   "30 Jan 2018",
}


bibtype: article
filename: elefunt.bib
label: Demsky:1983:MMC
author: J. Demsky and M. Schlesinger and R. D. Kent
title: Micro/mini computer program for calculating the square root of rationals at arbitrary precision
journal: j-COMP-PHYS-COMM
volume: 29
number: 3
pages: 237--244
month: may
monthnumber: 5
year: 1983
CODEN: CPHCBZ
DOI: https://doi.org/10.1016/0010-4655(83)90004-8
ISSN: 0010-4655 (print), 1879-2944 (electronic) OR 00104655 (print), 18792944 (electronic)
ISSNL: 0010-4655 OR 00104655
bibdate: Mon Feb 13 10:28:04 MST 2012
bibtimestamp: 2012.02.13 10:28:04 MST
URL: http://www.sciencedirect.com/science/article/pii/0010465583900048
fjournal: Computer Physics Communications
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00104655
rawauthor: J. Demsky and M. Schlesinger and R. D. Kent
rawtitle: Micro/mini computer program for calculating the square root of rationals at arbitrary precision
entry:
@Article{Demsky:1983:MMC,
  author =       "J. Demsky and M. Schlesinger and R. D. Kent",
  title =        "Micro/mini computer program for calculating the square
                 root of rationals at arbitrary precision",
  journal =      j-COMP-PHYS-COMM,
  volume =       "29",
  number =       "3",
  pages =        "237--244",
  month =        may,
  year =         "1983",
  CODEN =        "CPHCBZ",
  DOI =          "https://doi.org/10.1016/0010-4655(83)90004-8",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Mon Feb 13 10:28:04 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0010465583900048",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}


bibtype: article
filename: elefunt.bib
label: Dietrich:1983:VQF
author: D. Dietrich
journal: j-ELEKTRONIKER
volume: 8
pages: EL-1--EL-6
year: 1983
CODEN: ELKRBL
ISSN: 0531-9218 OR 05319218
bibdate: Fri Dec 08 13:05:49 1995
bibtimestamp: 1995.12.08 13:05:49 ???
fjournal: Elektroniker (Switzerland)
acknowledgement: ack-nj
rawauthor: D. Dietrich
title:
Verfahren zur Losung von Quadratwurzeln fur Mikrorechnerprozeduren toenglish Methods for the Solution of Square Roots for Microprocessor Subroutines endtoenglish 

rawtitle:
{Verfahren zur L{\"o}sung von Quadratwurzeln f{\"u}r Mikrorechnerprozeduren} \toenglish {Methods for the Solution of Square Roots for Microprocessor Subroutines} \endtoenglish

entry:
@Article{Dietrich:1983:VQF,
  author =       "D. Dietrich",
  title =        "{Verfahren zur L{\"o}sung von Quadratwurzeln f{\"u}r
                 Mikrorechnerprozeduren} \toenglish {Methods for the
                 Solution of Square Roots for Microprocessor
                 Subroutines} \endtoenglish",
  journal =      j-ELEKTRONIKER,
  volume =       "8",
  pages =        "EL-1--EL-6",
  year =         "1983",
  CODEN =        "ELKRBL",
  ISSN =         "0531-9218",
  bibdate =      "Fri Dec 08 13:05:49 1995",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nj,
  fjournal =     "Elektroniker (Switzerland)",
}


bibtype: article
filename: elefunt.bib
label: Dubrulle:1983:CNM
author: Augustin A. Dubrulle
title: Class of Numerical Methods for the Computation of Pythagorean Sums
journal: j-IBM-JRD
volume: 27
number: 6
pages: 582--589
month: nov
monthnumber: 11
year: 1983
CODEN: IBMJAE
ISSN: 0018-8646 (print), 2151-8556 (electronic) OR 00188646 (print), 21518556 (electronic)
ISSNL: 0018-8646 OR 00188646
bibdate: Tue Mar 25 14:26:59 MST 1997
bibsource: Compendex database; https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 1997.03.25 14:26:59 MST
note: See cite Moler:1983:RSR and generalization cite Jamieson:1989:RCI.
fjournal: IBM Journal of Research and Development
acknowledgement: ack-nhfb
classcodes: C4190 (Other numerical methods); C5230 (Digital arithmetic methods)
corpsource: IBM Sci. Centre, Palo Alto, CA, USA
journalURL: http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5288520
journalabr: IBM J Res Dev
treatment: T Theoretical or Mathematical
rawauthor: Augustin A. Dubrulle
rawnote: See \cite{Moler:1983:RSR} and generalization \cite{Jamieson:1989:RCI}.
rawtitle: Class of Numerical Methods for the Computation of {Pythagorean} Sums
abstract:
Moler and Morrison have described an iterative algorithm for the computation of the Pythagorean sum (a**2 plus b**2)** one-half of two real numbers a and b. This algorithm is immune to unwarranted floating-point overflows, has a cubic rate of convergence, and is easily transportable. This paper, which shows that the algorithm is essentially Halley's method applied to the computation of square roots, provides a generalization to any order of convergence. Formulas of orders 2 through 9 are illustrated with numerical examples. The generalization keeps the number of floating-point divisions constant and should be particularly useful for computation in high-precision floating-point arithmetic.

keywords:
computer programming; digital arithmetic; floating-point divisions; Halley's method; high-precision floating-point arithmetic; iterative algorithm; iterative methods; mathematical techniques --- Numerical Methods; Pythagorean sums; rate of convergence; square roots

rawabstract:
Moler and Morrison have described an iterative algorithm for the computation of the Pythagorean sum (a**2 plus b**2)** one-half of two real numbers a and b. This algorithm is immune to unwarranted floating-point overflows, has a cubic rate of convergence, and is easily transportable. This paper, which shows that the algorithm is essentially Halley's method applied to the computation of square roots, provides a generalization to any order of convergence. Formulas of orders 2 through 9 are illustrated with numerical examples. The generalization keeps the number of floating-point divisions constant and should be particularly useful for computation in high-precision floating-point arithmetic.

entry:
@Article{Dubrulle:1983:CNM,
  author =       "Augustin A. Dubrulle",
  title =        "Class of Numerical Methods for the Computation of
                 {Pythagorean} Sums",
  journal =      j-IBM-JRD,
  volume =       "27",
  number =       "6",
  pages =        "582--589",
  month =        nov,
  year =         "1983",
  CODEN =        "IBMJAE",
  ISSN =         "0018-8646 (print), 2151-8556 (electronic)",
  ISSN-L =       "0018-8646",
  bibdate =      "Tue Mar 25 14:26:59 MST 1997",
  bibsource =    "Compendex database;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See \cite{Moler:1983:RSR} and generalization
                 \cite{Jamieson:1989:RCI}.",
  abstract =     "Moler and Morrison have described an iterative
                 algorithm for the computation of the Pythagorean sum
                 (a**2 plus b**2)** one-half of two real numbers a and
                 b. This algorithm is immune to unwarranted
                 floating-point overflows, has a cubic rate of
                 convergence, and is easily transportable. This paper,
                 which shows that the algorithm is essentially Halley's
                 method applied to the computation of square roots,
                 provides a generalization to any order of convergence.
                 Formulas of orders 2 through 9 are illustrated with
                 numerical examples. The generalization keeps the number
                 of floating-point divisions constant and should be
                 particularly useful for computation in high-precision
                 floating-point arithmetic.",
  acknowledgement = ack-nhfb,
  classcodes =   "C4190 (Other numerical methods); C5230 (Digital
                 arithmetic methods)",
  classification = "723; 921",
  corpsource =   "IBM Sci. Centre, Palo Alto, CA, USA",
  fjournal =     "IBM Journal of Research and Development",
  journal-URL =  "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5288520",
  journalabr =   "IBM J Res Dev",
  keywords =     "computer programming; digital arithmetic;
                 floating-point divisions; Halley's method;
                 high-precision floating-point arithmetic; iterative
                 algorithm; iterative methods; mathematical techniques
                 --- Numerical Methods; Pythagorean sums; rate of
                 convergence; square roots",
  treatment =    "T Theoretical or Mathematical",
}


bibtype: article
filename: elefunt.bib
label: Ellacott:1983:FTE
author: S. W. Ellacott
title: On the Faber transform and efficient numerical rational approximation
journal: j-SIAM-J-NUMER-ANAL
volume: 20
number: 5
pages: 989--1000
month: oct
monthnumber: 10
year: 1983
CODEN: SJNAAM
ISSN: 0036-1429 (print), 1095-7170 (electronic) OR 00361429 (print), 10957170 (electronic)
ISSNL: 0036-1429 OR 00361429
MRclass: 41A20 (41A21)
MRnumber: 85f:41010
MRreviewer: Lee L. Keener
bibdate: Fri Oct 16 06:57:22 MDT 1998
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; JSTOR database
bibtimestamp: 1998.10.16 06:57:22 MDT
fjournal: SIAM Journal on Numerical Analysis
acknowledgement: ack-nhfb
journalURL: http://epubs.siam.org/sinum
rawauthor: S. W. Ellacott
rawtitle: On the {Faber} transform and efficient numerical rational approximation
entry:
@Article{Ellacott:1983:FTE,
  author =       "S. W. Ellacott",
  title =        "On the {Faber} transform and efficient numerical
                 rational approximation",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "20",
  number =       "5",
  pages =        "989--1000",
  month =        oct,
  year =         "1983",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "41A20 (41A21)",
  MRnumber =     "85f:41010",
  MRreviewer =   "Lee L. Keener",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Numerical Analysis",
  journal-URL =  "http://epubs.siam.org/sinum",
}


bibtype: article
filename: elefunt.bib
label: Fessler:1983:HAA
author: Theodore Fessler and William F. Ford and David A. Smith
title: HURRY: An Acceleration Algorithm for Scalar Sequences and Series
journal: j-TOMS
volume: 9
number: 3
pages: 346--354
month: sep
monthnumber: 9
year: 1983
CODEN: ACMSCU
DOI: https://doi.org/10.1145/356044.356051
ISSN: 0098-3500 (print), 1557-7295 (electronic) OR 00983500 (print), 15577295 (electronic)
ISSNL: 0098-3500 OR 00983500
MRclass: 65B10
MRnumber: 791 970
bibdate: Sun Sep 04 19:50:51 1994
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/toms.bib
bibtimestamp: 1994.09.04 19:50:51 ???
fjournal: ACM Transactions on Mathematical Software (TOMS)
acknowledgement: ack-nhfb
journalURL: https://dl.acm.org/loi/toms
rawauthor: Theodore Fessler and William F. Ford and David A. Smith
rawtitle: {HURRY}: An Acceleration Algorithm for Scalar Sequences and Series
entry:
@Article{Fessler:1983:HAA,
  author =       "Theodore Fessler and William F. Ford and David A.
                 Smith",
  title =        "{HURRY}: An Acceleration Algorithm for Scalar
                 Sequences and Series",
  journal =      j-TOMS,
  volume =       "9",
  number =       "3",
  pages =        "346--354",
  month =        sep,
  year =         "1983",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/356044.356051",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  MRclass =      "65B10",
  MRnumber =     "791 970",
  bibdate =      "Sun Sep 04 19:50:51 1994",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/toms.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
  journal-URL =  "https://dl.acm.org/loi/toms",
}


bibtype: article
filename: elefunt.bib
label: Fukushima:1983:OAA
author: M. Fukushima
title: An outer approximation algorithm for solving general convex programs
journal: j-OPER-RES
volume: 31
number: 1
pages: 101--113
month: feb
monthnumber: 2
year: 1983
CODEN: OPREAI
ISSN: 0030-364X (print), 1526-5463 (electronic) OR 0030364X (print), 15265463 (electronic)
ISSNL: 0030-364X OR 0030364X
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: Operations Research
acknowledgement: ack-nhfb
journalURL: http://pubsonline.informs.org/loi/opre
rawauthor: M. Fukushima
rawtitle: An outer approximation algorithm for solving general convex programs
subject:
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.4 MATHEMATICAL SOFTWARE

entry:
@Article{Fukushima:1983:OAA,
  author =       "M. Fukushima",
  title =        "An outer approximation algorithm for solving general
                 convex programs",
  journal =      j-OPER-RES,
  volume =       "31",
  number =       "1",
  pages =        "101--113",
  month =        feb,
  year =         "1983",
  CODEN =        "OPREAI",
  ISSN =         "0030-364X (print), 1526-5463 (electronic)",
  ISSN-L =       "0030-364X",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  catcode =      "G.1.2; G.4",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation; G.4 Efficiency",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Mathematics of Computing, MATHEMATICAL SOFTWARE,
                 Efficiency",
  fjournal =     "Operations Research",
  genterm =      "algorithms; documentation; performance; reliability;
                 theory",
  guideno =      "09992",
  journal-URL =  "http://pubsonline.informs.org/loi/opre",
  jrldate =      "Jan./Feb. 1983",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.4 MATHEMATICAL
                 SOFTWARE",
}


bibtype: article
filename: elefunt.bib
label: Giordano:1983:EAZ
author: C. Giordano and A. Laforgia
title: Elementary approximations for zeros of Bessel functions
journal: j-J-COMPUT-APPL-MATH
volume: 9
number: 3
pages: 221--228
month: sep
monthnumber: 9
year: 1983
CODEN: JCAMDI
ISSN: 0377-0427 (print), 1879-1778 (electronic) OR 03770427 (print), 18791778 (electronic)
ISSNL: 0377-0427 OR 03770427
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: Journal of Computational and Applied Mathematics
subject: G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/03770427
rawauthor: C. Giordano and A. Laforgia
rawtitle: Elementary approximations for zeros of {Bessel} functions
entry:
@Article{Giordano:1983:EAZ,
  author =       "C. Giordano and A. Laforgia",
  title =        "Elementary approximations for zeros of {Bessel}
                 functions",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "9",
  number =       "3",
  pages =        "221--228",
  month =        sep,
  year =         "1983",
  CODEN =        "JCAMDI",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  catcode =      "G.1.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation",
  fjournal =     "Journal of Computational and Applied Mathematics",
  genterm =      "theory",
  guideno =      "08115",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
  jrldate =      "Sept. 1983",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}


bibtype: article
filename: elefunt.bib
label: Hasson:1983:C
author: M. Hasson and O. Shisha
title: On the condition $ sum ^infty _n = 1n^p - 1E^*_n(f) < infty $
journal: j-J-APPROX-THEORY
volume: 39
number: 4
pages: 389--398
month: dec
monthnumber: 12
year: 1983
CODEN: JAXTAZ
ISSN: 0021-9045 (print), 1096-0430 (electronic) OR 00219045 (print), 10960430 (electronic)
ISSNL: 0021-9045 OR 00219045
MRclass: 42A10 (41A10)
MRnumber: 85a:42002
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: Journal of Approximation Theory
subject: G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00219045
rawauthor: M. Hasson and O. Shisha
rawtitle: On the condition {$ \sum^{\infty }_{n = 1}n^{p - 1}E^*_n(f) < \infty $}
entry:
@Article{Hasson:1983:C,
  author =       "M. Hasson and O. Shisha",
  title =        "On the condition {$ \sum^{\infty }_{n = 1}n^{p -
                 1}E^*_n(f) < \infty $}",
  journal =      j-J-APPROX-THEORY,
  volume =       "39",
  number =       "4",
  pages =        "389--398",
  month =        dec,
  year =         "1983",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045 (print), 1096-0430 (electronic)",
  ISSN-L =       "0021-9045",
  MRclass =      "42A10 (41A10)",
  MRnumber =     "85a:42002",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  catcode =      "G.1.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation",
  fjournal =     "Journal of Approximation Theory",
  genterm =      "theory",
  guideno =      "07952",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219045",
  jrldate =      "Dec. 1983",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}


bibtype: article
filename: elefunt.bib
label: Johnson:1983:MGC
author: Gary M. Johnson
title: Multiple-grid convergence acceleration of viscous and inviscid flow computations
journal: j-APPL-MATH-COMP
volume: 13
number: 3--4
pages: 375--398
month: nov
monthnumber: 11
year: 1983
CODEN: AMHCBQ
ISSN: 0096-3003 (print), 1873-5649 (electronic) OR 00963003 (print), 18735649 (electronic)
ISSNL: 0096-3003 OR 00963003
MRclass: 76-08
MRnumber: 84m:76010
bibdate: Thu Feb 27 09:47:09 MST 1997
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 1997.02.27 09:47:09 MST
fjournal: Applied Mathematics and Computation
keywords: convergence acceleration
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00963003
rawauthor: Gary M. Johnson
rawtitle: Multiple-grid convergence acceleration of viscous and inviscid flow computations
entry:
@Article{Johnson:1983:MGC,
  author =       "Gary M. Johnson",
  title =        "Multiple-grid convergence acceleration of viscous and
                 inviscid flow computations",
  journal =      j-APPL-MATH-COMP,
  volume =       "13",
  number =       "3--4",
  pages =        "375--398",
  month =        nov,
  year =         "1983",
  CODEN =        "AMHCBQ",
  ISSN =         "0096-3003 (print), 1873-5649 (electronic)",
  ISSN-L =       "0096-3003",
  MRclass =      "76-08",
  MRnumber =     "84m:76010",
  bibdate =      "Thu Feb 27 09:47:09 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Applied Mathematics and Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00963003",
  keywords =     "convergence acceleration",
}


bibtype: article
filename: elefunt.bib
label: Kershaw:1983:SEW
author: D. Kershaw
title: Some extensions of W. Gautschi's inequalities for the gamma function
journal: j-MATH-COMPUT
volume: 41
number: 164
pages: 607--611
month: oct
monthnumber: 10
year: 1983
CODEN: MCMPAF
ISSN: 0025-5718 (print), 1088-6842 (electronic) OR 00255718 (print), 10886842 (electronic)
ISSNL: 0025-5718 OR 00255718
MRclass: 33A15 (26D20 65D20)
MRnumber: 84m:33003
MRreviewer: P. Anandani
bibdate: Tue Oct 13 08:06:19 MDT 1998
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; JSTOR database
bibtimestamp: 1998.10.13 08:06:19 MDT
fjournal: Mathematics of Computation
acknowledgement: ack-nhfb
journalURL: http://www.ams.org/mcom/
rawauthor: D. Kershaw
rawtitle: Some extensions of {W. Gautschi}'s inequalities for the gamma function
entry:
@Article{Kershaw:1983:SEW,
  author =       "D. Kershaw",
  title =        "Some extensions of {W. Gautschi}'s inequalities for
                 the gamma function",
  journal =      j-MATH-COMPUT,
  volume =       "41",
  number =       "164",
  pages =        "607--611",
  month =        oct,
  year =         "1983",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "33A15 (26D20 65D20)",
  MRnumber =     "84m:33003",
  MRreviewer =   "P. Anandani",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
}


bibtype: article
filename: elefunt.bib
label: Lehnhoff:1983:NPT
author: H.-G Lehnhoff
title: A new proof of Teljakowskii's theorem
journal: j-J-APPROX-THEORY
volume: 38
number: 2
pages: 177--181
month: jun
monthnumber: 6
year: 1983
CODEN: JAXTAZ
ISSN: 0021-9045 (print), 1096-0430 (electronic) OR 00219045 (print), 10960430 (electronic)
ISSNL: 0021-9045 OR 00219045
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: Journal of Approximation Theory
subject: G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00219045
rawauthor: H.-G Lehnhoff
rawtitle: A new proof of {Teljakowskii}'s theorem
entry:
@Article{Lehnhoff:1983:NPT,
  author =       "H.-G Lehnhoff",
  title =        "A new proof of {Teljakowskii}'s theorem",
  journal =      j-J-APPROX-THEORY,
  volume =       "38",
  number =       "2",
  pages =        "177--181",
  month =        jun,
  year =         "1983",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045 (print), 1096-0430 (electronic)",
  ISSN-L =       "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  catcode =      "G.1.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
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  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
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  fjournal =     "Journal of Approximation Theory",
  genterm =      "theory",
  guideno =      "07897",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219045",
  jrldate =      "June 1983",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}


bibtype: article
filename: elefunt.bib
label: Lehnhoff:1983:SPF
author: H.-G Lehnhoff
title: A simple proof of a A. F. Timan's theorem
journal: j-J-APPROX-THEORY
volume: 38
number: 2
pages: 172--176
month: jun
monthnumber: 6
year: 1983
CODEN: JAXTAZ
ISSN: 0021-9045 (print), 1096-0430 (electronic) OR 00219045 (print), 10960430 (electronic)
ISSNL: 0021-9045 OR 00219045
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: Journal of Approximation Theory
subject: G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00219045
rawauthor: H.-G Lehnhoff
rawtitle: A simple proof of a {A. F. Timan}'s theorem
entry:
@Article{Lehnhoff:1983:SPF,
  author =       "H.-G Lehnhoff",
  title =        "A simple proof of a {A. F. Timan}'s theorem",
  journal =      j-J-APPROX-THEORY,
  volume =       "38",
  number =       "2",
  pages =        "172--176",
  month =        jun,
  year =         "1983",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045 (print), 1096-0430 (electronic)",
  ISSN-L =       "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  catcode =      "G.1.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation",
  fjournal =     "Journal of Approximation Theory",
  genterm =      "theory",
  guideno =      "07896",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219045",
  jrldate =      "June 1983",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}


bibtype: inproceedings
filename: elefunt.bib
label: Little:1983:CCS
author: F. Little
editor: Robert E. Barnhill and Wolfgang Boehm
title: Convex combination surfaces
publisher: pub-NORTH-HOLLAND
address: pub-NORTH-HOLLAND:adr
pages: 99--109
year: 1983
ISBN: 0-444-86550-0 OR 0444865500
ISBN13: 978-0-444-86550-2 OR 9780444865502
LCCN: T385 .S827 1982
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
acknowledgement: ack-nhfb
bookpages: xvi + 215
rawauthor: F. Little
raweditor: Robert E. Barnhill and Wolfgang Boehm
rawtitle: Convex combination surfaces
booktitle:
Surfaces in computer aided geometric design: proceedings of a conference held at Mathematisches Forschungsinstitut Oberwolfach, F.R.G., April 25--30, 1982, organized by Wolfgang Boehm and Josef Hoschek

rawbooktitle:
Surfaces in computer aided geometric design: proceedings of a conference held at Mathematisches Forschungsinstitut Oberwolfach, {F.R.G.}, April 25--30, 1982, organized by Wolfgang Boehm and Josef Hoschek

entry:
@InProceedings{Little:1983:CCS,
  author =       "F. Little",
  editor =       "Robert E. Barnhill and Wolfgang Boehm",
  booktitle =    "Surfaces in computer aided geometric design:
                 proceedings of a conference held at Mathematisches
                 Forschungsinstitut Oberwolfach, {F.R.G.}, April 25--30,
                 1982, organized by Wolfgang Boehm and Josef Hoschek",
  title =        "Convex combination surfaces",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  bookpages =    "xvi + 215",
  pages =        "99--109",
  year =         "1983",
  ISBN =         "0-444-86550-0",
  ISBN-13 =      "978-0-444-86550-2",
  LCCN =         "T385 .S827 1982",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  catcode =      "G.1.1; G.1.1; G.1.2",
  CRclass =      "G.1.1 Interpolation; G.1.1 Interpolation formulas;
                 G.1.1 Interpolation; G.1.1 Smoothing; G.1.2
                 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Interpolation, Interpolation formulas; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Interpolation,
                 Smoothing; Mathematics of Computing, NUMERICAL
                 ANALYSIS, Approximation, Elementary function
                 approximation",
  genterm =      "theory",
  guideno =      "13093",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
                 Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}


bibtype: techreport
filename: elefunt.bib
label: Lutskii:1983:VFT
author: G. M. Lutskiui and O. I. Penchev
type: Preprint
number: 83-22
institution: Akad. Nauk Ukrain. SSR, Inst. Kibernet.
address: Kiev, USSR
pages: 30
year: 1983
MRclass: 65D20
MRnumber: 719 021
bibdate: Sat Jan 11 17:44:01 MST 1997
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 1997.01.11 17:44:01 MST
language: Russian
acknowledgement: ack-nhfb
rawauthor: G. M. Lutski{\u\i} and O. I. Penchev
title:
cyr Vychislenie elementarnykh funktsiui metodom tsifra za tsifroui v izbytochnykh sistemakh schisleniya. (Russian) [Calculation of elementary functions by the digit-by-digit method in redundant number systems]

rawtitle:
{{\cyr Vychislenie {\`e}lementarnykh funktsi{\u\i} metodom tsifra za tsifro{\u\i} v izbytochnykh sistemakh schisleniya}}. ({Russian}) [Calculation of elementary functions by the digit-by-digit method in redundant number systems]

entry:
@TechReport{Lutskii:1983:VFT,
  author =       "G. M. Lutski{\u\i} and O. I. Penchev",
  title =        "{{\cyr Vychislenie {\`e}lementarnykh funktsi{\u\i}
                 metodom tsifra za tsifro{\u\i} v izbytochnykh sistemakh
                 schisleniya}}. ({Russian}) [Calculation of elementary
                 functions by the digit-by-digit method in redundant
                 number systems]",
  type =         "Preprint",
  number =       "83-22",
  institution =  "Akad. Nauk Ukrain. SSR, Inst. Kibernet.",
  address =      "Kiev, USSR",
  pages =        "30",
  year =         "1983",
  MRclass =      "65D20",
  MRnumber =     "719 021",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  language =     "Russian",
}


bibtype: article
filename: elefunt.bib
label: Mason:1983:CBF
author: Janet P. Mason
title: Cylindrical Bessel functions for a large range of complex arguments
journal: j-COMP-PHYS-COMM
volume: 30
number: 1
pages: 1--11
month: jul
monthnumber: 7
year: 1983
CODEN: CPHCBZ
DOI: https://doi.org/10.1016/0010-4655(83)90116-9
ISSN: 0010-4655 (print), 1879-2944 (electronic) OR 00104655 (print), 18792944 (electronic)
ISSNL: 0010-4655 OR 00104655
bibdate: Mon Feb 13 10:28:05 MST 2012
bibtimestamp: 2012.02.13 10:28:05 MST
URL: http://www.sciencedirect.com/science/article/pii/0010465583901169
fjournal: Computer Physics Communications
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00104655
rawauthor: Janet P. Mason
rawtitle: Cylindrical {Bessel} functions for a large range of complex arguments
abstract:
The evaluation of Bessel functions of the first and second kinds, covering a wide range of complex arguments and integer orders, is required in the determination of the intensity of acoustic reflection from absorbing bodies. Numerical problems associated with the calculations are discussed and various means by which these problems have been overcome are explained. The numerical methods used in calculating the Bessel functions of the first, second and third kinds are given, as well as sample results and numerical checks in the form of computer plots and printouts.

rawabstract:
The evaluation of Bessel functions of the first and second kinds, covering a wide range of complex arguments and integer orders, is required in the determination of the intensity of acoustic reflection from absorbing bodies. Numerical problems associated with the calculations are discussed and various means by which these problems have been overcome are explained. The numerical methods used in calculating the Bessel functions of the first, second and third kinds are given, as well as sample results and numerical checks in the form of computer plots and printouts.

entry:
@Article{Mason:1983:CBF,
  author =       "Janet P. Mason",
  title =        "Cylindrical {Bessel} functions for a large range of
                 complex arguments",
  journal =      j-COMP-PHYS-COMM,
  volume =       "30",
  number =       "1",
  pages =        "1--11",
  month =        jul # "\slash " # aug,
  year =         "1983",
  CODEN =        "CPHCBZ",
  DOI =          "https://doi.org/10.1016/0010-4655(83)90116-9",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Mon Feb 13 10:28:05 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0010465583901169",
  abstract =     "The evaluation of Bessel functions of the first and
                 second kinds, covering a wide range of complex
                 arguments and integer orders, is required in the
                 determination of the intensity of acoustic reflection
                 from absorbing bodies. Numerical problems associated
                 with the calculations are discussed and various means
                 by which these problems have been overcome are
                 explained. The numerical methods used in calculating
                 the Bessel functions of the first, second and third
                 kinds are given, as well as sample results and
                 numerical checks in the form of computer plots and
                 printouts.",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}


bibtype: article
filename: elefunt.bib
label: McCabe:1983:ASC
author: J. H. McCabe
title: On an asymptotic series and corresponding continued fraction for a gamma function ratio
journal: j-J-COMPUT-APPL-MATH
volume: 9
number: 2
pages: 125--130
month: jun
monthnumber: 6
year: 1983
CODEN: JCAMDI
ISSN: 0377-0427 (print), 1879-1778 (electronic) OR 03770427 (print), 18791778 (electronic)
ISSNL: 0377-0427 OR 03770427
bibdate: Sat Feb 25 11:59:24 MST 2017
bibtimestamp: 2017.02.25 11:59:24 MST
URL: http://www.sciencedirect.com/science/article/pii/0377042783900353
fjournal: Journal of Computational and Applied Mathematics
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/03770427
rawauthor: J. H. McCabe
rawtitle: On an asymptotic series and corresponding continued fraction for a gamma function ratio
entry:
@Article{McCabe:1983:ASC,
  author =       "J. H. McCabe",
  title =        "On an asymptotic series and corresponding continued
                 fraction for a gamma function ratio",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "9",
  number =       "2",
  pages =        "125--130",
  month =        jun,
  year =         "1983",
  CODEN =        "JCAMDI",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  bibdate =      "Sat Feb 25 11:59:24 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
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  URL =          "http://www.sciencedirect.com/science/article/pii/0377042783900353",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}


bibtype: techreport
filename: elefunt.bib
label: McCurdy:1983:ACD
author: A. McCurdy and K. C. Ng and Beresford N. Parlett
title: Accurate computation of divided differences of the exponential function
type: Report
number: PAM-160
institution: inst-CPAM-UCB
address: inst-CPAM-UCB:adr
pages: 125--130
month: jun
monthnumber: 6
year: 1983
bibdate: Fri Nov 11 09:06:19 2005
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2005.11.11 09:06:19 ???
acknowledgement: ack-nhfb
rawauthor: A. McCurdy and K. C. Ng and Beresford N. Parlett
rawtitle: Accurate computation of divided differences of the exponential function
entry:
@TechReport{McCurdy:1983:ACD,
  author =       "A. McCurdy and K. C. Ng and Beresford N. Parlett",
  title =        "Accurate computation of divided differences of the
                 exponential function",
  type =         "Report",
  number =       "PAM-160",
  institution =  inst-CPAM-UCB,
  address =      inst-CPAM-UCB:adr,
  month =        jun,
  year =         "1983",
  bibdate =      "Fri Nov 11 09:06:19 2005",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}


bibtype: article
filename: elefunt.bib
label: Meister:1983:MYF
author: B. Meister
title: On Murphy's yield formula
journal: j-IBM-JRD
volume: 27
number: 6
pages: 545--548
month: nov
monthnumber: 11
year: 1983
CODEN: IBMJAE
ISSN: 0018-8646 (print), 2151-8556 (electronic) OR 00188646 (print), 21518556 (electronic)
ISSNL: 0018-8646 OR 00188646
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: IBM Journal of Research and Development
subject: B. Hardware; B.7 INTEGRATED CIRCUITS; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS
acknowledgement: ack-nhfb
journalURL: http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5288520
rawauthor: B. Meister
rawtitle: On {Murphy}'s yield formula
entry:
@Article{Meister:1983:MYF,
  author =       "B. Meister",
  title =        "On {Murphy}'s yield formula",
  journal =      j-IBM-JRD,
  volume =       "27",
  number =       "6",
  pages =        "545--548",
  month =        nov,
  year =         "1983",
  CODEN =        "IBMJAE",
  ISSN =         "0018-8646 (print), 2151-8556 (electronic)",
  ISSN-L =       "0018-8646",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  catcode =      "B.7.1; G.1.2",
  CRclass =      "B.7.1 Types and Design Styles; B.7.1 Input/Output
                 circuits; G.1.2 Approximation; G.1.2 Elementary
                 function approximation",
  descriptor =   "Hardware, INTEGRATED CIRCUITS, Types and Design
                 Styles, Input/Output circuits; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Approximation,
                 Elementary function approximation",
  fjournal =     "IBM Journal of Research and Development",
  genterm =      "theory; design; reliability",
  guideno =      "06316",
  journal-URL =  "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5288520",
  jrldate =      "Nov. 1983",
  subject =      "B. Hardware; B.7 INTEGRATED CIRCUITS; G. Mathematics
                 of Computing; G.1 NUMERICAL ANALYSIS",
}


bibtype: article
filename: elefunt.bib
label: Mlodzki:1983:PPC
author: J. Mlodzki and J. Kuszkowski and M. Suffczynski
title: A Pascal program for calculating the reduced Coulomb Green's functions and their partial waves
journal: j-COMP-PHYS-COMM
volume: 29
number: 4
pages: 341--350
month: jun
monthnumber: 6
year: 1983
CODEN: CPHCBZ
DOI: https://doi.org/10.1016/0010-4655(83)90013-9
ISSN: 0010-4655 (print), 1879-2944 (electronic) OR 00104655 (print), 18792944 (electronic)
ISSNL: 0010-4655 OR 00104655
bibdate: Fri Feb 24 18:49:59 MST 2012
bibtimestamp: 2012.02.24 18:49:59 MST
URL: http://www.sciencedirect.com/science/article/pii/0010465583900139
fjournal: Computer Physics Communications
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00104655
rawauthor: J. Mlodzki and J. Kuszkowski and M. Suffczynski
rawtitle:
A {Pascal} program for calculating the reduced {Coulomb} {Green}'s functions and their partial waves

entry:
@Article{Mlodzki:1983:PPC,
  author =       "J. Mlodzki and J. Kuszkowski and M. Suffczynski",
  title =        "A {Pascal} program for calculating the reduced
                 {Coulomb} {Green}'s functions and their partial waves",
  journal =      j-COMP-PHYS-COMM,
  volume =       "29",
  number =       "4",
  pages =        "341--350",
  month =        jun,
  year =         "1983",
  CODEN =        "CPHCBZ",
  DOI =          "https://doi.org/10.1016/0010-4655(83)90013-9",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Fri Feb 24 18:49:59 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0010465583900139",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}


bibtype: inproceedings
filename: elefunt.bib
label: Moler:1983:MSV
author: C. Moler
booktitle: SIAM Conference on Parallel Processing for Scientific Computing, Norfolk, VA, November 10--11, 1983
title: Mathematical Software for Vector Computers
publisher: pub-SIAM
address: pub-SIAM:adr
pages: ??--??
year: 1983
bibdate: Fri Sep 20 14:42:46 2024
bibtimestamp: 2024.09.20 14:42:46 ???
remark: Cited in cite [Reference 11]Agarwal:1986:NSV in elefunt.bib and fparith.bib.
acknowledgement: ack-nhfb
rawauthor: C. Moler
rawtitle: Mathematical Software for Vector Computers
bibsource:
https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib

rawbooktitle:
{SIAM Conference on Parallel Processing for Scientific Computing, Norfolk, VA, November 10--11, 1983}

entry:
@InProceedings{Moler:1983:MSV,
  author =       "C. Moler",
  editor =       "????",
  booktitle =    "{SIAM Conference on Parallel Processing for Scientific
                 Computing, Norfolk, VA, November 10--11, 1983}",
  title =        "Mathematical Software for Vector Computers",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "??--??",
  year =         "1983",
  DOI =          "",
  ISBN =         "",
  ISBN-13 =      "",
  LCCN =         "",
  bibdate =      "Fri Sep 20 14:42:46 2024",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  remark =       "Cited in \cite[Reference 11]{Agarwal:1986:NSV} in
                 elefunt.bib and fparith.bib.",
}


bibtype: article
filename: elefunt.bib
label: Moler:1983:RSR
author: Cleve B. Moler and Donald Morrison
title: Replacing Square Roots by Pythagorean Sums
journal: j-IBM-JRD
volume: 27
number: 6
pages: 577--581
month: nov
monthnumber: 11
year: 1983
CODEN: IBMJAE
ISSN: 0018-8646 (print), 2151-8556 (electronic) OR 00188646 (print), 21518556 (electronic)
ISSNL: 0018-8646 OR 00188646
bibdate: Thu Sep 1 10:15:41 1994
bibtimestamp: 1994.09.01 10:15:41 ???
note: See cite Dubrulle:1983:CNM and generalization cite Jamieson:1989:RCI.
URL: http://www.research.ibm.com/journal/rd/276/ibmrd2706P.pdf
fjournal: IBM Journal of Research and Development
acknowledgement: ack-nj
classcodes: C4190 (Other numerical methods); C5230 (Digital arithmetic methods)
corpsource: Dept. of Computer Sci., Univ. of New Mexico, Albuquerque, NM, USA
journalURL: http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5288520
treatment: T Theoretical or Mathematical
rawauthor: Cleve B. Moler and Donald Morrison
rawnote: See \cite{Dubrulle:1983:CNM} and generalization \cite{Jamieson:1989:RCI}.
rawtitle: Replacing Square Roots by {Pythagorean} Sums
bibsource:
ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib

abstract:
An algorithm is presented for computing a 'Pythagorean sum' a(+)b= square root a/sup 2/+b/sup 2/ directly from a and b without computing their squares or taking a square root. No destructive floating point overflows or underflows are possible. The algorithm can be extended to compute the Euclidean norm of a vector. The resulting subroutine is short, portable, robust, and accurate, but not as efficient as some other possibilities. The algorithm is particularly attractive for computers where space and reliability are more important than speed

keywords:
algorithms; digital arithmetic; Euclidean norm; floating-point arithmetic; iterative methods; performance; Pythagorean sums; subroutine; vector

subject:
G.1 Mathematics of Computing, NUMERICAL ANALYSIS, Roots of Nonlinear Equations F.2.1 Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical Algorithms and Problems, Computations on polynomials F.2.2 Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Nonnumerical Algorithms and Problems, Geometrical problems and computations

rawabstract:
An algorithm is presented for computing a 'Pythagorean sum' a(+)b= square root a/sup 2/+b/sup 2/ directly from a and b without computing their squares or taking a square root. No destructive floating point overflows or underflows are possible. The algorithm can be extended to compute the Euclidean norm of a vector. The resulting subroutine is short, portable, robust, and accurate, but not as efficient as some other possibilities. The algorithm is particularly attractive for computers where space and reliability are more important than speed

entry:
@Article{Moler:1983:RSR,
  author =       "Cleve B. Moler and Donald Morrison",
  title =        "Replacing Square Roots by {Pythagorean} Sums",
  journal =      j-IBM-JRD,
  volume =       "27",
  number =       "6",
  pages =        "577--581",
  month =        nov,
  year =         "1983",
  CODEN =        "IBMJAE",
  ISSN =         "0018-8646 (print), 2151-8556 (electronic)",
  ISSN-L =       "0018-8646",
  bibdate =      "Thu Sep 1 10:15:41 1994",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See \cite{Dubrulle:1983:CNM} and generalization
                 \cite{Jamieson:1989:RCI}.",
  URL =          "http://www.research.ibm.com/journal/rd/276/ibmrd2706P.pdf",
  abstract =     "An algorithm is presented for computing a 'Pythagorean
                 sum' a(+)b= square root a/sup 2/+b/sup 2/ directly from
                 a and b without computing their squares or taking a
                 square root. No destructive floating point overflows or
                 underflows are possible. The algorithm can be extended
                 to compute the Euclidean norm of a vector. The
                 resulting subroutine is short, portable, robust, and
                 accurate, but not as efficient as some other
                 possibilities. The algorithm is particularly attractive
                 for computers where space and reliability are more
                 important than speed",
  acknowledgement = ack-nj # " and " # ack-nhfb,
  classcodes =   "C4190 (Other numerical methods); C5230 (Digital
                 arithmetic methods)",
  corpsource =   "Dept. of Computer Sci., Univ. of New Mexico,
                 Albuquerque, NM, USA",
  fjournal =     "IBM Journal of Research and Development",
  journal-URL =  "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5288520",
  keywords =     "algorithms; digital arithmetic; Euclidean norm;
                 floating-point arithmetic; iterative methods;
                 performance; Pythagorean sums; subroutine; vector",
  review =       "ACM CR 8406-0463",
  subject =      "G.1 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Roots of Nonlinear Equations \\ F.2.1 Theory of
                 Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
                 COMPLEXITY, Numerical Algorithms and Problems,
                 Computations on polynomials \\ F.2.2 Theory of
                 Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
                 COMPLEXITY, Nonnumerical Algorithms and Problems,
                 Geometrical problems and computations",
  treatment =    "T Theoretical or Mathematical",
}


bibtype: phdthesis
filename: elefunt.bib
label: Monk:1983:SFE
author: P. B. Monk
title: Some finite element methods for the approximation of the biharmonic equation
type: Ph.D Thesis
school: Rutgers University, The State University of New Jersey
address: New Brunswick, NJ, USA
pages: 242
year: 1983
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
acknowledgement: ack-nhfb
rawauthor: P. B. Monk
rawtitle: Some finite element methods for the approximation of the biharmonic equation
entry:
@PhdThesis{Monk:1983:SFE,
  author =       "P. B. Monk",
  title =        "Some finite element methods for the approximation of
                 the biharmonic equation",
  type =         "{Ph.D} Thesis",
  school =       "Rutgers University, The State University of New
                 Jersey",
  address =      "New Brunswick, NJ, USA",
  pages =        "242",
  year =         "1983",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  catcode =      "G.1.8; G.1.2",
  CRclass =      "G.1.8 Partial Differential Equations; G.1.8 Finite
                 element methods; G.1.2 Approximation; G.1.2 Elementary
                 function approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS, Partial
                 Differential Equations, Finite element methods;
                 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation",
  genterm =      "design; algorithms; experimentation",
  guideno =      "15929",
  source =       "UMI order no. DA8308441",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}


bibtype: article
filename: elefunt.bib
label: Muench:1983:LAF
author: Donald L. Muench and Gerald Wildenberg
title: A Logarithm Algorithm for a Five-Function Calculator
journal: j-TWO-YEAR-COLL-MATH-J
volume: 14
number: 4
pages: 324--326
month: sep
monthnumber: 9
year: 1983
DOI: https://doi.org/10.1080/00494925.1983.11972707
ISSN: 0049-4925 (print), 2325-9116 (electronic) OR 00494925 (print), 23259116 (electronic)
ISSNL: 0049-4925 OR 00494925
bibdate: Thu Feb 14 09:49:45 MST 2019
bibtimestamp: 2019.02.14 09:49:45 MST
URL: http://www.tandfonline.com/doi/abs/10.1080/00494925.1983.11972707
fjournal: Two-Year College Mathematics Journal
acknowledgement: ack-nhfb
journalURL: https://maa.tandfonline.com/loi/ucmj20; http://www.jstor.org/journals/00494925.html
onlinedate: 30 Jan 2018
rawauthor: Donald L. Muench and Gerald Wildenberg
rawtitle: A Logarithm Algorithm for a Five-Function Calculator
bibsource:
https://www.math.utah.edu/pub/tex/bib/collegemathj.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib

entry:
@Article{Muench:1983:LAF,
  author =       "Donald L. Muench and Gerald Wildenberg",
  title =        "A Logarithm Algorithm for a Five-Function Calculator",
  journal =      j-TWO-YEAR-COLL-MATH-J,
  volume =       "14",
  number =       "4",
  pages =        "324--326",
  month =        sep,
  year =         "1983",
  CODEN =        "????",
  DOI =          "https://doi.org/10.1080/00494925.1983.11972707",
  ISSN =         "0049-4925 (print), 2325-9116 (electronic)",
  ISSN-L =       "0049-4925",
  bibdate =      "Thu Feb 14 09:49:45 MST 2019",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/collegemathj.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.tandfonline.com/doi/abs/10.1080/00494925.1983.11972707",
  acknowledgement = ack-nhfb,
  fjournal =     "Two-Year College Mathematics Journal",
  journal-URL =  "https://maa.tandfonline.com/loi/ucmj20;
                 http://www.jstor.org/journals/00494925.html",
  onlinedate =   "30 Jan 2018",
}


bibtype: article
filename: elefunt.bib
label: Nave:1983:ITF
author: Rafi Nave
title: Implementation of Transcendental Functions on a Numerics Processor
journal: j-MICROPROC-MICROPROG
volume: 11
pages: 221--225
year: 1983
CODEN: MMICDT
ISSN: 0165-6074 (print), 1878-7061 (electronic) OR 01656074 (print), 18787061 (electronic)
ISSNL: 0165-6074 OR 01656074
bibdate: Mon May 19 13:30:58 1997
bibtimestamp: 1997.05.19 13:30:58 ???
fjournal: Microprocessing and Microprogramming
acknowledgement: ack-nhfb
key: Nav83
rawauthor: Rafi Nave
rawtitle: Implementation of Transcendental Functions on a Numerics Processor
bibsource:
ftp://ftp.ira.uka.de/pub/bibliography/Math/elefunt.bib.gz; https://www.math.utah.edu/pub/tex/bib/elefunt.bib

entry:
@Article{Nave:1983:ITF,
  author =       "Rafi Nave",
  key =          "Nav83",
  title =        "Implementation of Transcendental Functions on a
                 Numerics Processor",
  journal =      j-MICROPROC-MICROPROG,
  volume =       "11",
  pages =        "221--225",
  year =         "1983",
  CODEN =        "MMICDT",
  ISSN =         "0165-6074 (print), 1878-7061 (electronic)",
  ISSN-L =       "0165-6074",
  bibdate =      "Mon May 19 13:30:58 1997",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Math/elefunt.bib.gz;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Microprocessing and Microprogramming",
}


bibtype: article
filename: elefunt.bib
label: Piessens:1983:MCC
author: Robert Piessens and Maria Branders
title: Modified Clenshaw--Curtis method for the computation of Bessel function integrals
journal: j-BIT
volume: 23
number: 3
pages: 370--381
month: sep
monthnumber: 9
year: 1983
CODEN: BITTEL, NBITAB
DOI: https://doi.org/10.1007/BF01934465
ISSN: 0006-3835 (print), 1572-9125 (electronic) OR 00063835 (print), 15729125 (electronic)
ISSNL: 0006-3835 OR 00063835
MRclass: 65D30 (65R10)
MRnumber: 85b:65019 (705003)
MRreviewer: H. E. Fettis
bibdate: Sun Nov 12 06:18:24 2023
bibtimestamp: 2023.11.12 06:18:24 ???
URL: http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=23&issue=3&spage=370
fjournal: BIT. Nordisk Tidskrift for Informationsbehandling (BIT)
acknowledgement: ack-nhfb
journalURL: http://link.springer.com/journal/10543
subjectdates: Charles William Clenshaw (15 March 1926--23 September 2004)
rawauthor: Robert Piessens and Maria Branders
rawtitle: Modified {Clenshaw--Curtis} method for the computation of {Bessel} function integrals
bibsource:
http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=23&issue=3; https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib; https://www.math.utah.edu/pub/tex/bib/bit.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib

entry:
@Article{Piessens:1983:MCC,
  author =       "Robert Piessens and Maria Branders",
  title =        "Modified {Clenshaw--Curtis} method for the computation
                 of {Bessel} function integrals",
  journal =      j-BIT,
  volume =       "23",
  number =       "3",
  pages =        "370--381",
  month =        sep,
  year =         "1983",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "https://doi.org/10.1007/BF01934465",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  MRclass =      "65D30 (65R10)",
  MRnumber =     "85b:65019 (705003)",
  MRreviewer =   "H. E. Fettis",
  bibdate =      "Sun Nov 12 06:18:24 2023",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=23&issue=3;
                 https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/bit.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=23&issue=3&spage=370",
  acknowledgement = ack-nhfb,
  fjournal =     "BIT. Nordisk Tidskrift for Informationsbehandling
                 (BIT)",
  journal-URL =  "http://link.springer.com/journal/10543",
  subject-dates = "Charles William Clenshaw (15 March 1926--23 September
                 2004)",
}


bibtype: article
filename: elefunt.bib
label: Prosser:1983:NCS
author: C. J. Prosser
title: A note on computing the square root of an integer
journal: j-COMP-J
volume: 26
number: 2
pages: 187--188
month: may
monthnumber: 5
year: 1983
CODEN: CMPJA6
ISSN: 0010-4620 (print), 1460-2067 (electronic) OR 00104620 (print), 14602067 (electronic)
ISSNL: 0010-4620 OR 00104620
bibdate: Tue Mar 25 13:51:56 MST 1997
bibtimestamp: 1997.03.25 13:51:56 MST
fjournal: The Computer Journal
acknowledgement: ack-nhfb
classcodes: C4190 (Other numerical methods); C7310 (Mathematics computing)
corpsource: Rutherford and Appleton Lab., Chilton, Didcot, UK
journalURL: http://comjnl.oxfordjournals.org/
treatment: P Practical
rawauthor: C. J. Prosser
rawtitle: A note on computing the square root of an integer
bibsource:
http://www3.oup.co.uk/computer_journal/hdb/Volume_26/Issue_02/; https://www.math.utah.edu/pub/tex/bib/compj1980.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib

URL:
http://www3.oup.co.uk/computer_journal/hdb/Volume_26/Issue_02/tiff/187.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_26/Issue_02/tiff/188.tif

keywords:
binary; computer; fixed-point number; integer; interactive methods; iterative methods; PASCAL; Pascal implementation; square root; subroutines; successive subtraction

entry:
@Article{Prosser:1983:NCS,
  author =       "C. J. Prosser",
  title =        "A note on computing the square root of an integer",
  journal =      j-COMP-J,
  volume =       "26",
  number =       "2",
  pages =        "187--188",
  month =        may,
  year =         "1983",
  CODEN =        "CMPJA6",
  ISSN =         "0010-4620 (print), 1460-2067 (electronic)",
  ISSN-L =       "0010-4620",
  bibdate =      "Tue Mar 25 13:51:56 MST 1997",
  bibsource =    "http://www3.oup.co.uk/computer_journal/hdb/Volume_26/Issue_02/;
                 https://www.math.utah.edu/pub/tex/bib/compj1980.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  URL =          "http://www3.oup.co.uk/computer_journal/hdb/Volume_26/Issue_02/tiff/187.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_26/Issue_02/tiff/188.tif",
  acknowledgement = ack-nhfb,
  classcodes =   "C4190 (Other numerical methods); C7310 (Mathematics
                 computing)",
  corpsource =   "Rutherford and Appleton Lab., Chilton, Didcot, UK",
  fjournal =     "The Computer Journal",
  journal-URL =  "http://comjnl.oxfordjournals.org/",
  keywords =     "binary; computer; fixed-point number; integer;
                 interactive methods; iterative methods; PASCAL; Pascal
                 implementation; square root; subroutines; successive
                 subtraction",
  treatment =    "P Practical",
}


bibtype: article
filename: elefunt.bib
label: Salzer:1983:NDG
author: Herbert E. Salzer
title: Note on the Docev--Grosswald asymptotic series for generalized Bessel polynomials
journal: j-J-COMPUT-APPL-MATH
volume: 9
number: 2
pages: 131--135
month: jun
monthnumber: 6
year: 1983
CODEN: JCAMDI
ISSN: 0377-0427 (print), 1879-1778 (electronic) OR 03770427 (print), 18791778 (electronic)
ISSNL: 0377-0427 OR 03770427
bibdate: Sat Feb 25 11:59:24 MST 2017
bibtimestamp: 2017.02.25 11:59:24 MST
note: See errata cite Anonymous:1984:EJCb.
URL: http://www.sciencedirect.com/science/article/pii/0377042783900365
fjournal: Journal of Computational and Applied Mathematics
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/03770427
rawauthor: Herbert E. Salzer
rawnote: See errata \cite{Anonymous:1984:EJCb}.
rawtitle: Note on the {Do{\v{c}}ev--Grosswald} asymptotic series for generalized {Bessel} polynomials
entry:
@Article{Salzer:1983:NDG,
  author =       "Herbert E. Salzer",
  title =        "Note on the {Do{\v{c}}ev--Grosswald} asymptotic series
                 for generalized {Bessel} polynomials",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "9",
  number =       "2",
  pages =        "131--135",
  month =        jun,
  year =         "1983",
  CODEN =        "JCAMDI",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  bibdate =      "Sat Feb 25 11:59:24 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputapplmath1980.bib",
  note =         "See errata \cite{Anonymous:1984:EJCb}.",
  URL =          "http://www.sciencedirect.com/science/article/pii/0377042783900365",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}


bibtype: article
filename: elefunt.bib
label: Sidi:1983:ZSP
author: Avram Sidi and Doron S. Lubinsky
title: On the zeros of some polynomials that arise in numerical quadrature and convergence acceleration
journal: j-SIAM-J-NUMER-ANAL
volume: 20
number: 2
pages: 400--405
month: apr
monthnumber: 4
year: 1983
CODEN: SJNAAM
DOI: https://doi.org/10.1137/0720028
ISSN: 0036-1429 (print), 1095-7170 (electronic) OR 00361429 (print), 10957170 (electronic)
ISSNL: 0036-1429 OR 00361429
MRclass: 65H05 (65D30)
MRnumber: 694528 (84f:65046)
MRreviewer: J. G. Herriot
bibdate: Thu Dec 1 17:36:45 2011
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; JSTOR database
bibtimestamp: 2011.12.01 17:36:45 ???
fjournal: SIAM Journal on Numerical Analysis
keywords: convergence acceleration
acknowledgement: ack-nhfb
journalURL: http://epubs.siam.org/sinum
rawauthor: Avram Sidi and Doron S. Lubinsky
rawtitle: On the zeros of some polynomials that arise in numerical quadrature and convergence acceleration
entry:
@Article{Sidi:1983:ZSP,
  author =       "Avram Sidi and Doron S. Lubinsky",
  title =        "On the zeros of some polynomials that arise in
                 numerical quadrature and convergence acceleration",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "20",
  number =       "2",
  pages =        "400--405",
  month =        apr,
  year =         "1983",
  CODEN =        "SJNAAM",
  DOI =          "https://doi.org/10.1137/0720028",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65H05 (65D30)",
  MRnumber =     "694528 (84f:65046)",
  MRreviewer =   "J. G. Herriot",
  bibdate =      "Thu Dec 1 17:36:45 2011",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Numerical Analysis",
  journal-URL =  "http://epubs.siam.org/sinum",
  keywords =     "convergence acceleration",
}


bibtype: article
filename: elefunt.bib
label: Talman:1983:LSC
author: James D. Talman
title: LSFBTR: a subroutine for calculating spherical Bessel transforms
journal: j-COMP-PHYS-COMM
volume: 30
number: 1
pages: 93--99
month: jul
monthnumber: 7
year: 1983
CODEN: CPHCBZ
DOI: https://doi.org/10.1016/0010-4655(83)90126-1
ISSN: 0010-4655 (print), 1879-2944 (electronic) OR 00104655 (print), 18792944 (electronic)
ISSNL: 0010-4655 OR 00104655
bibdate: Mon Feb 13 10:28:05 MST 2012
bibtimestamp: 2012.02.13 10:28:05 MST
URL: http://www.sciencedirect.com/science/article/pii/0010465583901261
fjournal: Computer Physics Communications
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00104655
rawauthor: James D. Talman
rawtitle: {LSFBTR}: a subroutine for calculating spherical {Bessel} transforms
entry:
@Article{Talman:1983:LSC,
  author =       "James D. Talman",
  title =        "{LSFBTR}: a subroutine for calculating spherical
                 {Bessel} transforms",
  journal =      j-COMP-PHYS-COMM,
  volume =       "30",
  number =       "1",
  pages =        "93--99",
  month =        jul # "\slash " # aug,
  year =         "1983",
  CODEN =        "CPHCBZ",
  DOI =          "https://doi.org/10.1016/0010-4655(83)90126-1",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Mon Feb 13 10:28:05 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0010465583901261",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}


bibtype: article
filename: elefunt.bib
label: Temme:1983:NCC
author: N. M. Temme
title: The numerical computation of the confluent hypergeometric function $ U(a, b, z) $
journal: j-NUM-MATH
volume: 41
number: 1
pages: 63--82
month: apr
monthnumber: 4
year: 1983
CODEN: NUMMA7
ISSN: 0029-599X (print), 0945-3245 (electronic) OR 0029599X (print), 09453245 (electronic)
ISSNL: 0029-599X OR 0029599X
MRclass: 65D20 (33A30 65D15)
MRnumber: 84g:65030
MRreviewer: H. E. Fettis
bibdate: Mon May 26 11:49:34 MDT 1997
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 1997.05.26 11:49:34 MDT
fjournal: Numerische Mathematik
acknowledgement: ack-nhfb
corpsource: Math. Centrum, Amsterdam, Netherlands
journalURL: http://link.springer.com/journal/211
treatment: P Practical; T Theoretical or Mathematical
rawauthor: N. M. Temme
rawtitle: The numerical computation of the confluent hypergeometric function $ {U}(a, \, b, \, z) $
keywords:
ALGOL 60 procedures; asymptotic expansions; confluent hypergeometric function; function computation; function evaluation; Miller algorithm; subroutines

entry:
@Article{Temme:1983:NCC,
  author =       "N. M. Temme",
  title =        "The numerical computation of the confluent
                 hypergeometric function $ {U}(a, \, b, \, z) $",
  journal =      j-NUM-MATH,
  volume =       "41",
  number =       "1",
  pages =        "63--82",
  month =        apr,
  year =         "1983",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "65D20 (33A30 65D15)",
  MRnumber =     "84g:65030",
  MRreviewer =   "H. E. Fettis",
  bibdate =      "Mon May 26 11:49:34 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  classification = "C4120 (Functional analysis); C7310 (Mathematics
                 computing)",
  corpsource =   "Math. Centrum, Amsterdam, Netherlands",
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
  keywords =     "ALGOL 60 procedures; asymptotic expansions; confluent
                 hypergeometric function; function computation; function
                 evaluation; Miller algorithm; subroutines",
  treatment =    "P Practical; T Theoretical or Mathematical",
}


bibtype: techreport
filename: elefunt.bib
label: Temme:1983:TTR
author: N. M. Temme
title: Traces to Tricomi in recent work on special functions and asymptotics of integrals
type: Report
number: TW 239/83
institution: Stichting mathematisch Centrum
address: Amsterdam, The Netherlands
pages: 15
year: 1983
LCCN: A1 M462 TW239/83
bibdate: Sat Oct 30 18:29:48 2010
bibsource: http://cat.cisti-icist.nrc-cnrc.gc.ca/; https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2010.10.30 18:29:48 ???
acknowledgement: ack-nhfb
rawauthor: N. M. Temme
rawtitle: Traces to {Tricomi} in recent work on special functions and asymptotics of integrals
entry:
@TechReport{Temme:1983:TTR,
  author =       "N. M. Temme",
  title =        "Traces to {Tricomi} in recent work on special
                 functions and asymptotics of integrals",
  type =         "Report",
  number =       "TW 239/83",
  institution =  "Stichting mathematisch Centrum",
  address =      "Amsterdam, The Netherlands",
  pages =        "15",
  year =         "1983",
  LCCN =         "A1 M462 TW239/83",
  bibdate =      "Sat Oct 30 18:29:48 2010",
  bibsource =    "http://cat.cisti-icist.nrc-cnrc.gc.ca/;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}


bibtype: article
filename: elefunt.bib
label: Temme:1983:UAE
author: Nico M. Temme
title: Uniform asymptotic expansions of Laplace integrals
journal: Analysis
volume: 3
number: 1--4
pages: 221--249
year: 1983
ISSN: 0174-4747 (print), 2196-6753 (electronic) OR 01744747 (print), 21966753 (electronic)
ISSNL: 0174-4747 OR 01744747
MRclass: 41A60 (44A10)
MRnumber: 756117
MRreviewer: F. W. J. Olver
bibdate: Tue Feb 6 11:39:36 2018
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2018.02.06 11:39:36 ???
fjournal: Analysis. International Journal of Analysis and its Application
acknowledgement: ack-nhfb
rawauthor: Nico M. Temme
rawtitle: Uniform asymptotic expansions of {Laplace} integrals
entry:
@Article{Temme:1983:UAE,
  author =       "Nico M. Temme",
  title =        "Uniform asymptotic expansions of {Laplace} integrals",
  journal =      "Analysis",
  volume =       "3",
  number =       "1--4",
  pages =        "221--249",
  year =         "1983",
  ISSN =         "0174-4747 (print), 2196-6753 (electronic)",
  ISSN-L =       "0174-4747",
  MRclass =      "41A60 (44A10)",
  MRnumber =     "756117",
  MRreviewer =   "F. W. J. Olver",
  bibdate =      "Tue Feb 6 11:39:36 2018",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Analysis. International Journal of Analysis and its
                 Application",
}


bibtype: article
filename: elefunt.bib
label: Volz:1983:CAA
author: H. Volz
journal: j-NACH-ELEK
volume: 33
number: 12
pages: 506--510
year: 1983
CODEN: NTELAP
ISSN: 0323-4657 OR 03234657
bibdate: Fri Sep 16 16:30:40 1994
bibsource: garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt; https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 1994.09.16 16:30:40 ???
fjournal: Nachrichtentechnik Elektronik
acknowledgement: ack-nj
rawauthor: H. V{\"o}lz
title:
CORDIC und ahnliche Algorithmen der elementaren Funktionen mit besonderer Eignung fur Mikrorechner toenglish CORDIC and Similar Algorithms for Elementary Functions with Particular Aptitude for Microcomputers endtoenglish 

rawtitle:
{CORDIC und {\"a}hnliche Algorithmen der elementaren Funktionen mit besonderer Eignung f{\"u}r Mikrorechner} \toenglish {CORDIC and Similar Algorithms for Elementary Functions with Particular Aptitude for Microcomputers} \endtoenglish

entry:
@Article{Volz:1983:CAA,
  author =       "H. V{\"o}lz",
  title =        "{CORDIC und {\"a}hnliche Algorithmen der elementaren
                 Funktionen mit besonderer Eignung f{\"u}r Mikrorechner}
                 \toenglish {CORDIC and Similar Algorithms for
                 Elementary Functions with Particular Aptitude for
                 Microcomputers} \endtoenglish",
  journal =      j-NACH-ELEK,
  volume =       "33",
  number =       "12",
  pages =        "506--510",
  month =        "????",
  year =         "1983",
  CODEN =        "NTELAP",
  ISSN =         "0323-4657",
  bibdate =      "Fri Sep 16 16:30:40 1994",
  bibsource =    "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nj,
  fjournal =     "Nachrichtentechnik Elektronik",
}


bibtype: article
filename: elefunt.bib
label: Wejntrob:1983:ASR
author: Leon Wejntrob
title: Approximation of Square Roots
journal: j-TWO-YEAR-COLL-MATH-J
volume: 14
number: 5
pages: 427--431
month: nov
monthnumber: 11
year: 1983
DOI: https://doi.org/10.1080/00494925.1983.11972733
ISSN: 0049-4925 (print), 2325-9116 (electronic) OR 00494925 (print), 23259116 (electronic)
ISSNL: 0049-4925 OR 00494925
bibdate: Thu Feb 14 09:49:48 MST 2019
bibtimestamp: 2019.02.14 09:49:48 MST
URL: http://www.tandfonline.com/doi/abs/10.1080/00494925.1983.11972733
fjournal: Two-Year College Mathematics Journal
keywords: rational square roots of rational numbers
acknowledgement: ack-nhfb
journalURL: https://maa.tandfonline.com/loi/ucmj20; http://www.jstor.org/journals/00494925.html
onlinedate: 30 Jan 2018
rawauthor: Leon Wejntrob
rawtitle: Approximation of Square Roots
bibsource:
https://www.math.utah.edu/pub/tex/bib/collegemathj.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib

entry:
@Article{Wejntrob:1983:ASR,
  author =       "Leon Wejntrob",
  title =        "Approximation of Square Roots",
  journal =      j-TWO-YEAR-COLL-MATH-J,
  volume =       "14",
  number =       "5",
  pages =        "427--431",
  month =        nov,
  year =         "1983",
  CODEN =        "????",
  DOI =          "https://doi.org/10.1080/00494925.1983.11972733",
  ISSN =         "0049-4925 (print), 2325-9116 (electronic)",
  ISSN-L =       "0049-4925",
  bibdate =      "Thu Feb 14 09:49:48 MST 2019",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/collegemathj.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.tandfonline.com/doi/abs/10.1080/00494925.1983.11972733",
  acknowledgement = ack-nhfb,
  fjournal =     "Two-Year College Mathematics Journal",
  journal-URL =  "https://maa.tandfonline.com/loi/ucmj20;
                 http://www.jstor.org/journals/00494925.html",
  keywords =     "rational square roots of rational numbers",
  onlinedate =   "30 Jan 2018",
}


bibtype: article
filename: elefunt.bib
label: Xu:1983:HPG
author: Xian Yu Xu and Jia Kai Li and Gui Jing Xiong and Guo Liang Xu and Chun Qing Lu
title: High-precision generation of elementary functions. (Chinese)
journal: Appl. Math. Math. Comput.
volume: 6
pages: 24--32
year: 1983
MRclass: 65D20
MRnumber: 86e:65031
bibdate: Sat Jan 11 17:44:01 MST 1997
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 1997.01.11 17:44:01 MST
acknowledgement: ack-nhfb
rawauthor: Xian Yu Xu and Jia Kai Li and Gui Jing Xiong and Guo Liang Xu and Chun Qing Lu
rawtitle: High-precision generation of elementary functions. ({Chinese})
entry:
@Article{Xu:1983:HPG,
  author =       "Xian Yu Xu and Jia Kai Li and Gui Jing Xiong and Guo
                 Liang Xu and Chun Qing Lu",
  title =        "High-precision generation of elementary functions.
                 ({Chinese})",
  journal =      "Appl. Math. Math. Comput.",
  volume =       "6",
  pages =        "24--32",
  year =         "1983",
  MRclass =      "65D20",
  MRnumber =     "86e:65031",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}


bibtype: article
filename: elefunt.bib
label: Anonymous:1984:EJCb
author: Anonymous
journal: j-J-COMPUT-APPL-MATH
volume: 10
number: 1
pages: 133--133
month: feb
monthnumber: 2
year: 1984
CODEN: JCAMDI
ISSN: 0377-0427 (print), 1879-1778 (electronic) OR 03770427 (print), 18791778 (electronic)
ISSNL: 0377-0427 OR 03770427
bibdate: Sat Feb 25 11:59:53 MST 2017
bibtimestamp: 2017.02.25 11:59:53 MST
note: See cite Salzer:1983:NDG.
URL: http://www.sciencedirect.com/science/article/pii/0377042784900773
fjournal: Journal of Computational and Applied Mathematics
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/03770427
rawauthor: Anonymous
rawnote: See \cite{Salzer:1983:NDG}.
title:
Errata: J. Comput. Appl. Math. bf 9: H. E. Salzer, Note on the Docev--Grosswald asymptotic series for generalized Bessel polynomials, (1983) 131--135

rawtitle:
Errata: {J. Comput. Appl. Math. {\bf 9}: H. E. Salzer, Note on the Do{\v{c}}ev--Grosswald asymptotic series for generalized Bessel polynomials, (1983) 131--135}

entry:
@Article{Anonymous:1984:EJCb,
  author =       "Anonymous",
  title =        "Errata: {J. Comput. Appl. Math. {\bf 9}: H. E. Salzer,
                 Note on the Do{\v{c}}ev--Grosswald asymptotic series
                 for generalized Bessel polynomials, (1983) 131--135}",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "10",
  number =       "1",
  pages =        "133--133",
  month =        feb,
  year =         "1984",
  CODEN =        "JCAMDI",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  bibdate =      "Sat Feb 25 11:59:53 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputapplmath1980.bib",
  note =         "See \cite{Salzer:1983:NDG}.",
  URL =          "http://www.sciencedirect.com/science/article/pii/0377042784900773",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}


bibtype: article
filename: elefunt.bib
label: Ardill:1984:ABF
author: R. W. B. Ardill and K. J. M. Moriarty
journal: j-COMP-PHYS-COMM
volume: 35
number: 1--3
pages: C-559--C-559
year: 1984
CODEN: CPHCBZ
DOI: https://doi.org/10.1016/S0010-4655(84)82734-4
ISSN: 0010-4655 (print), 1879-2944 (electronic) OR 00104655 (print), 18792944 (electronic)
ISSNL: 0010-4655 OR 00104655
bibdate: Sat Feb 25 10:56:33 MST 2012
bibtimestamp: 2012.02.25 10:56:33 MST
URL: http://www.sciencedirect.com/science/article/pii/S0010465584827344
fjournal: Computer Physics Communications
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00104655
rawauthor: R. W. B. Ardill and K. J. M. Moriarty
title:
Accurate Bessel functions $ J_n(z) $, $ Y_n(z) $, $ H_n^(1)(z) $ and $ H_n^(2)(z) $ of integer order and complex argument

rawtitle:
Accurate {Bessel} functions {$ J_n(z) $}, {$ Y_n(z) $}, {$ H_n^{(1)}(z) $} and {$ H_n^{(2)}(z) $} of integer order and complex argument

entry:
@Article{Ardill:1984:ABF,
  author =       "R. W. B. Ardill and K. J. M. Moriarty",
  title =        "Accurate {Bessel} functions {$ J_n(z) $}, {$ Y_n(z)
                 $}, {$ H_n^{(1)}(z) $} and {$ H_n^{(2)}(z) $} of
                 integer order and complex argument",
  journal =      j-COMP-PHYS-COMM,
  volume =       "35",
  number =       "1--3",
  pages =        "C-559--C-559",
  month =        "????",
  year =         "1984",
  CODEN =        "CPHCBZ",
  DOI =          "https://doi.org/10.1016/S0010-4655(84)82734-4",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sat Feb 25 10:56:33 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0010465584827344",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}


bibtype: article
filename: elefunt.bib
label: Ardill:1984:BFC
author: W. B. Ardill and K. J. M. Moriarty
title: The Bessel functions $ J_0 $ and $ J_1 $ of complex argument
journal: j-COMP-PHYS-COMM
volume: 35
pages: C-409--C-409
year: 1984
CODEN: CPHCBZ
DOI: https://doi.org/10.1016/S0010-4655(84)82619-3
ISSN: 0010-4655 (print), 1879-2944 (electronic) OR 00104655 (print), 18792944 (electronic)
ISSNL: 0010-4655 OR 00104655
bibdate: Thu Apr 24 10:35:27 2008
bibtimestamp: 2008.04.24 10:35:27 ???
fjournal: Computer Physics Communications
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00104655
rawauthor: W. B. Ardill and K. J. M. Moriarty
rawtitle: The {Bessel} functions {$ J_0 $} and {$ J_1 $} of complex argument
entry:
@Article{Ardill:1984:BFC,
  author =       "W. B. Ardill and K. J. M. Moriarty",
  title =        "The {Bessel} functions {$ J_0 $} and {$ J_1 $} of
                 complex argument",
  journal =      j-COMP-PHYS-COMM,
  volume =       "35",
  pages =        "C-409--C-409",
  year =         "1984",
  CODEN =        "CPHCBZ",
  DOI =          "https://doi.org/10.1016/S0010-4655(84)82619-3",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Thu Apr 24 10:35:27 2008",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}


bibtype: article
filename: elefunt.bib
label: Ardill:1984:SBF
author: R. W. B. Ardill and K. J. M. Moriarty
title: Spherical Bessel functions $ j_n $ and $ y_n $ of integer order and real argument
journal: j-COMP-PHYS-COMM
volume: 35
pages: C-466--C-466
year: 1984
CODEN: CPHCBZ
DOI: https://doi.org/10.1016/S0010-4655(84)82666-1
ISSN: 0010-4655 (print), 1879-2944 (electronic) OR 00104655 (print), 18792944 (electronic)
ISSNL: 0010-4655 OR 00104655
bibdate: Thu Apr 24 10:35:27 2008
bibtimestamp: 2008.04.24 10:35:27 ???
fjournal: Computer Physics Communications
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00104655
rawauthor: R. W. B. Ardill and K. J. M. Moriarty
rawtitle: Spherical {Bessel} functions $ j_n $ and $ y_n $ of integer order and real argument
remark:
No code shown, but uses formulas from cite Abramowitz:1964:HMF for evaluations. Function name is tt sphbes.

entry:
@Article{Ardill:1984:SBF,
  author =       "R. W. B. Ardill and K. J. M. Moriarty",
  title =        "Spherical {Bessel} functions $ j_n $ and $ y_n $ of
                 integer order and real argument",
  journal =      j-COMP-PHYS-COMM,
  volume =       "35",
  pages =        "C-466--C-466",
  year =         "1984",
  CODEN =        "CPHCBZ",
  DOI =          "https://doi.org/10.1016/S0010-4655(84)82666-1",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Thu Apr 24 10:35:27 2008",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
  remark =       "No code shown, but uses formulas from
                 \cite{Abramowitz:1964:HMF} for evaluations. Function
                 name is {\tt sphbes}.",
}


bibtype: article
filename: elefunt.bib
label: Bardin:1984:CFE
title: Coulomb functions in entire $ (eta , pi ) $-plane
journal: j-COMP-PHYS-COMM
volume: 35
number: 1--3
pages: C-125--C-126
year: 1984
CODEN: CPHCBZ
DOI: https://doi.org/10.1016/S0010-4655(84)82382-6
ISSN: 0010-4655 (print), 1879-2944 (electronic) OR 00104655 (print), 18792944 (electronic)
ISSNL: 0010-4655 OR 00104655
bibdate: Sat Feb 25 10:56:06 MST 2012
bibtimestamp: 2012.02.25 10:56:06 MST
URL: http://www.sciencedirect.com/science/article/pii/S0010465584823826
fjournal: Computer Physics Communications
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00104655
rawtitle: {Coulomb} functions in entire $ (\eta, \pi) $-plane
author:
C. Bardin and Y. Dandeu and L. Gauthier and J. Guillermin and T. Lena and J.-M. Pernet and H. H. Wolter and T. Tamura

rawauthor:
C. Bardin and Y. Dandeu and L. Gauthier and J. Guillermin and T. Lena and J.-M. Pernet and H. H. Wolter and T. Tamura

entry:
@Article{Bardin:1984:CFE,
  author =       "C. Bardin and Y. Dandeu and L. Gauthier and J.
                 Guillermin and T. Lena and J.-M. Pernet and H. H.
                 Wolter and T. Tamura",
  title =        "{Coulomb} functions in entire $ (\eta, \pi) $-plane",
  journal =      j-COMP-PHYS-COMM,
  volume =       "35",
  number =       "1--3",
  pages =        "C-125--C-126",
  month =        "????",
  year =         "1984",
  CODEN =        "CPHCBZ",
  DOI =          "https://doi.org/10.1016/S0010-4655(84)82382-6",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sat Feb 25 10:56:06 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0010465584823826",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}


bibtype: article
filename: elefunt.bib
label: Barnett:1984:CCB
author: A. R. Barnett
title: Coulfg: Coulomb and Bessel functions and their derivatives, for real arguments, by Steed's method
journal: j-COMP-PHYS-COMM
volume: 35
number: 1--3
pages: C-812--C-813
year: 1984
CODEN: CPHCBZ
DOI: https://doi.org/10.1016/S0010-4655(84)82930-6
ISSN: 0010-4655 (print), 1879-2944 (electronic) OR 00104655 (print), 18792944 (electronic)
ISSNL: 0010-4655 OR 00104655
bibdate: Sat Feb 25 10:56:49 MST 2012
bibtimestamp: 2012.02.25 10:56:49 MST
URL: http://www.sciencedirect.com/science/article/pii/S0010465584829306
fjournal: Computer Physics Communications
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00104655
rawauthor: A. R. Barnett
rawtitle:
{Coulfg}: {Coulomb} and {Bessel} functions and their derivatives, for real arguments, by {Steed}'s method

entry:
@Article{Barnett:1984:CCB,
  author =       "A. R. Barnett",
  title =        "{Coulfg}: {Coulomb} and {Bessel} functions and their
                 derivatives, for real arguments, by {Steed}'s method",
  journal =      j-COMP-PHYS-COMM,
  volume =       "35",
  number =       "1--3",
  pages =        "C-812--C-813",
  month =        "????",
  year =         "1984",
  CODEN =        "CPHCBZ",
  DOI =          "https://doi.org/10.1016/S0010-4655(84)82930-6",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sat Feb 25 10:56:49 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0010465584829306",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}


bibtype: article
filename: elefunt.bib
label: Barnett:1984:CWF
author: A. R. Barnett and D. H. Feng and J. W. Steed and L. J. B. Goldfarb
title: Coulomb wave functions for all real $ eta $ and $ rho $
journal: j-COMP-PHYS-COMM
volume: 35
number: 1--3
pages: C-285
year: 1984
CODEN: CPHCBZ
DOI: https://doi.org/10.1016/S0010-4655(84)82515-1
ISSN: 0010-4655 (print), 1879-2944 (electronic) OR 00104655 (print), 18792944 (electronic)
ISSNL: 0010-4655 OR 00104655
bibdate: Sat Feb 25 10:56:15 MST 2012
bibtimestamp: 2012.02.25 10:56:15 MST
URL: http://www.sciencedirect.com/science/article/pii/S0010465584825151
fjournal: Computer Physics Communications
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00104655
rawauthor: A. R. Barnett and D. H. Feng and J. W. Steed and L. J. B. Goldfarb
rawtitle: {Coulomb} wave functions for all real $ \eta $ and $ \rho $
entry:
@Article{Barnett:1984:CWF,
  author =       "A. R. Barnett and D. H. Feng and J. W. Steed and L. J.
                 B. Goldfarb",
  title =        "{Coulomb} wave functions for all real $ \eta $ and $
                 \rho $",
  journal =      j-COMP-PHYS-COMM,
  volume =       "35",
  number =       "1--3",
  pages =        "C-285",
  month =        "????",
  year =         "1984",
  CODEN =        "CPHCBZ",
  DOI =          "https://doi.org/10.1016/S0010-4655(84)82515-1",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sat Feb 25 10:56:15 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0010465584825151",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}


bibtype: article
filename: elefunt.bib
label: Barnett:1984:KCF
author: A. R. Barnett
title: Klein: Coulomb functions for real $ lambda $ and positive energy to high accuracy
journal: j-COMP-PHYS-COMM
volume: 35
number: 1--3
pages: C-753
year: 1984
CODEN: CPHCBZ
DOI: https://doi.org/10.1016/S0010-4655(84)82884-2
ISSN: 0010-4655 (print), 1879-2944 (electronic) OR 00104655 (print), 18792944 (electronic)
ISSNL: 0010-4655 OR 00104655
bibdate: Sat Feb 25 10:56:49 MST 2012
bibtimestamp: 2012.02.25 10:56:49 MST
URL: http://www.sciencedirect.com/science/article/pii/S0010465584828842
fjournal: Computer Physics Communications
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00104655
rawauthor: A. R. Barnett
rawtitle: {Klein}: {Coulomb} functions for real $ \lambda $ and positive energy to high accuracy
entry:
@Article{Barnett:1984:KCF,
  author =       "A. R. Barnett",
  title =        "{Klein}: {Coulomb} functions for real $ \lambda $ and
                 positive energy to high accuracy",
  journal =      j-COMP-PHYS-COMM,
  volume =       "35",
  number =       "1--3",
  pages =        "C-753",
  month =        "????",
  year =         "1984",
  CODEN =        "CPHCBZ",
  DOI =          "https://doi.org/10.1016/S0010-4655(84)82884-2",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sat Feb 25 10:56:49 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0010465584828842",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}


bibtype: article
filename: elefunt.bib
label: Barnett:1984:RMR
author: A. R. Barnett
title: RCWFF --- a modification of the real Coulomb wavefunction program RCWFN
journal: j-COMP-PHYS-COMM
volume: 35
number: 1--3
pages: C-370
year: 1984
CODEN: CPHCBZ
DOI: https://doi.org/10.1016/S0010-4655(84)82585-0
ISSN: 0010-4655 (print), 1879-2944 (electronic) OR 00104655 (print), 18792944 (electronic)
ISSNL: 0010-4655 OR 00104655
bibdate: Sat Feb 25 10:56:24 MST 2012
bibtimestamp: 2012.02.25 10:56:24 MST
URL: http://www.sciencedirect.com/science/article/pii/S0010465584825850
fjournal: Computer Physics Communications
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00104655
rawauthor: A. R. Barnett
rawtitle: {RCWFF} --- a modification of the real {Coulomb} wavefunction program {RCWFN}
entry:
@Article{Barnett:1984:RMR,
  author =       "A. R. Barnett",
  title =        "{RCWFF} --- a modification of the real {Coulomb}
                 wavefunction program {RCWFN}",
  journal =      j-COMP-PHYS-COMM,
  volume =       "35",
  number =       "1--3",
  pages =        "C-370",
  month =        "????",
  year =         "1984",
  CODEN =        "CPHCBZ",
  DOI =          "https://doi.org/10.1016/S0010-4655(84)82585-0",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sat Feb 25 10:56:24 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0010465584825850",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}


bibtype: article
filename: elefunt.bib
label: Bell:1984:CFN
author: K. L. Bell and N. S. Scott
title: Coulomb functions (negative energies)
journal: j-COMP-PHYS-COMM
volume: 35
number: 1--3
pages: C-648
year: 1984
CODEN: CPHCBZ
DOI: https://doi.org/10.1016/S0010-4655(84)82808-8
ISSN: 0010-4655 (print), 1879-2944 (electronic) OR 00104655 (print), 18792944 (electronic)
ISSNL: 0010-4655 OR 00104655
bibdate: Sat Feb 25 10:56:41 MST 2012
bibtimestamp: 2012.02.25 10:56:41 MST
URL: http://www.sciencedirect.com/science/article/pii/S0010465584828088
fjournal: Computer Physics Communications
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00104655
rawauthor: K. L. Bell and N. S. Scott
rawtitle: {Coulomb} functions (negative energies)
entry:
@Article{Bell:1984:CFN,
  author =       "K. L. Bell and N. S. Scott",
  title =        "{Coulomb} functions (negative energies)",
  journal =      j-COMP-PHYS-COMM,
  volume =       "35",
  number =       "1--3",
  pages =        "C-648",
  month =        "????",
  year =         "1984",
  CODEN =        "CPHCBZ",
  DOI =          "https://doi.org/10.1016/S0010-4655(84)82808-8",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sat Feb 25 10:56:41 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0010465584828088",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}


bibtype: incollection
filename: elefunt.bib
label: Berges:1984:AFE
author: J. C. Berges
booktitle: Space mathematics
publisher: Cepadues
address: Toulouse, France
pages: 193--229
year: 1984
MRclass: 65-01 (65-04)
MRnumber: 849 200
bibdate: Sat Jan 11 17:44:01 MST 1997
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 1997.01.11 17:44:01 MST
language: French
acknowledgement: ack-nhfb
rawauthor: J. C. Berges
rawbooktitle: Space mathematics
title:
Arithmetique et fonctions elementaires sur mini-micro calculateurs. (French) [Arithmetic and elementary functions on mini-micro computers]

rawtitle:
Arithm{\'e}tique et fonctions {\'e}l{\'e}mentaires sur mini-micro calculateurs. ({French}) [Arithmetic and elementary functions on mini-micro computers]

entry:
@InCollection{Berges:1984:AFE,
  author =       "J. C. Berges",
  booktitle =    "Space mathematics",
  title =        "Arithm{\'e}tique et fonctions {\'e}l{\'e}mentaires sur
                 mini-micro calculateurs. ({French}) [Arithmetic and
                 elementary functions on mini-micro computers]",
  publisher =    "C{\'e}padu{\`e}s",
  address =      "Toulouse, France",
  pages =        "193--229",
  year =         "1984",
  MRclass =      "65-01 (65-04)",
  MRnumber =     "849 200",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  language =     "French",
}


bibtype: article
filename: elefunt.bib
label: Berndt:1984:APA
author: Bruce C. Berndt and Larry A. Goldberg
title: Analytic properties of arithmetic sums arising in the theory of the classical theta functions
journal: j-SIAM-J-MATH-ANA
volume: 15
number: 1
pages: 143--150
month: jan
monthnumber: 1
year: 1984
CODEN: SJMAAH
ISSN: 0036-1410 (print), 1095-7154 (electronic) OR 00361410 (print), 10957154 (electronic)
ISSNL: 0036-1410 OR 00361410
MRclass: 11A15 (11A25 11F27)
MRnumber: 85d:11008
MRreviewer: T. M. Apostol
bibdate: Sun Nov 28 19:23:19 MST 2010
bibsource: http://epubs.siam.org/sam-bin/dbq/toc/SIMA/15/1; https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2010.11.28 19:23:19 MST
fjournal: SIAM Journal on Mathematical Analysis
acknowledgement: ack-nhfb
journalURL: http://epubs.siam.org/sima
rawauthor: Bruce C. Berndt and Larry A. Goldberg
rawtitle: Analytic properties of arithmetic sums arising in the theory of the classical theta functions
entry:
@Article{Berndt:1984:APA,
  author =       "Bruce C. Berndt and Larry A. Goldberg",
  title =        "Analytic properties of arithmetic sums arising in the
                 theory of the classical theta functions",
  journal =      j-SIAM-J-MATH-ANA,
  volume =       "15",
  number =       "1",
  pages =        "143--150",
  month =        jan,
  year =         "1984",
  CODEN =        "SJMAAH",
  ISSN =         "0036-1410 (print), 1095-7154 (electronic)",
  ISSN-L =       "0036-1410",
  MRclass =      "11A15 (11A25 11F27)",
  MRnumber =     "85d:11008",
  MRreviewer =   "T. M. Apostol",
  bibdate =      "Sun Nov 28 19:23:19 MST 2010",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/15/1;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Mathematical Analysis",
  journal-URL =  "http://epubs.siam.org/sima",
}


bibtype: article
filename: elefunt.bib
label: Black:1984:NIS
author: Cheryl M. Black and Robert P. Burton and Thomas H. Miller
title: The Need for an Industry Standard of Accuracy for Elementary-Function Programs
journal: j-TOMS
volume: 10
number: 4
pages: 361--366
month: dec
monthnumber: 12
year: 1984
CODEN: ACMSCU
ISSN: 0098-3500 (print), 1557-7295 (electronic) OR 00983500 (print), 15577295 (electronic)
ISSNL: 0098-3500 OR 00983500
MRclass: 65D20
MRnumber: 792 000
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: ACM Transactions on Mathematical Software (TOMS)
acknowledgement: ack-nhfb
journalURL: https://dl.acm.org/loi/toms
rawauthor: Cheryl M. Black and Robert P. Burton and Thomas H. Miller
rawtitle: The Need for an Industry Standard of Accuracy for Elementary-Function Programs
subject:
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.4 MATHEMATICAL SOFTWARE

entry:
@Article{Black:1984:NIS,
  author =       "Cheryl M. Black and Robert P. Burton and Thomas H.
                 Miller",
  title =        "The Need for an Industry Standard of Accuracy for
                 Elementary-Function Programs",
  journal =      j-TOMS,
  volume =       "10",
  number =       "4",
  pages =        "361--366",
  month =        dec,
  year =         "1984",
  CODEN =        "ACMSCU",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  MRclass =      "65D20",
  MRnumber =     "792 000",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  catcode =      "G.1.0; G.1.2; G.4",
  CRclass =      "G.1.0 General; G.1.0 Numerical algorithms; G.1.2
                 Approximation; G.1.2 Elementary function approximation;
                 G.4 Efficiency",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS, General,
                 Numerical algorithms; Mathematics of Computing,
                 NUMERICAL ANALYSIS, Approximation, Elementary function
                 approximation; Mathematics of Computing, MATHEMATICAL
                 SOFTWARE, Efficiency",
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
  genterm =      "theory; algorithms; reliability; standardization",
  guideno =      "02897",
  journal-URL =  "https://dl.acm.org/loi/toms",
  jrldate =      "Dec. 1984",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
                 Mathematics of Computing; G.4 MATHEMATICAL SOFTWARE",
}


bibtype: article
filename: elefunt.bib
label: Borwein:1984:AGM
author: J. M. Borwein and P. B. Borwein
title: The Arithmetic-Geometric Mean and Fast Computation of Elementary Functions
journal: j-SIAM-REVIEW
volume: 26
number: 3
pages: 351--366
month: jul
monthnumber: 7
year: 1984
CODEN: SIREAD
DOI: https://doi.org/10.1137/1026073
ISSN: 0036-1445 (print), 1095-7200 (electronic) OR 00361445 (print), 10957200 (electronic)
ISSNL: 0036-1445 OR 00361445
MRclass: 65D20 (26A09)
MRnumber: 86d:65029
MRreviewer: S. Conde
bibdate: Fri Jun 21 11:25:02 MDT 2013
bibtimestamp: 2013.06.21 11:25:02 MDT
fjournal: SIAM Review
acknowledgement: ack-nhfb
affiliationaddress: Dalhousie Univ, Halifax, NS, Can
journalURL: http://epubs.siam.org/sirev
journalabr: SIAM Rev
rawauthor: J. M. Borwein and P. B. Borwein
rawtitle: The Arithmetic-Geometric Mean and Fast Computation of Elementary Functions
bibsource:
Compendex database; garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/siamreview.bib

abstract:
We produce a self contained account of the relationship between the Gaussian arithmetic-geometric mean iteration and the fast computation of elementary functions. A particularly pleasant algorithm for pi is one of the by-products.

keywords:
AGM (Arithmetic-Geometric Mean); arithmetic-geometric mean; calculation of pi; computational methods; elliptic functions; Iterative Methods; mathematical techniques; numerical mathematics

rawabstract:
We produce a self contained account of the relationship between the Gaussian arithmetic-geometric mean iteration and the fast computation of elementary functions. A particularly pleasant algorithm for pi is one of the by-products.

entry:
@Article{Borwein:1984:AGM,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "The Arithmetic-Geometric Mean and Fast Computation of
                 Elementary Functions",
  journal =      j-SIAM-REVIEW,
  volume =       "26",
  number =       "3",
  pages =        "351--366",
  month =        jul,
  year =         "1984",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/1026073",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  MRclass =      "65D20 (26A09)",
  MRnumber =     "86d:65029",
  MRreviewer =   "S. Conde",
  bibdate =      "Fri Jun 21 11:25:02 MDT 2013",
  bibsource =    "Compendex database;
                 garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  abstract =     "We produce a self contained account of the
                 relationship between the Gaussian arithmetic-geometric
                 mean iteration and the fast computation of elementary
                 functions. A particularly pleasant algorithm for pi is
                 one of the by-products.",
  acknowledgement = ack-nhfb # " and " # ack-nj,
  affiliationaddress = "Dalhousie Univ, Halifax, NS, Can",
  classification = "723; 921",
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  journalabr =   "SIAM Rev",
  keywords =     "AGM (Arithmetic-Geometric Mean); arithmetic-geometric
                 mean; calculation of pi; computational methods;
                 elliptic functions; Iterative Methods; mathematical
                 techniques; numerical mathematics",
}


bibtype: article
filename: elefunt.bib
label: Braess:1984:RAE
author: Dietrich Braess
title: On rational approximation of the exponential and the square root function
journal: j-LECT-NOTES-MATH
volume: 1105
pages: 89--99
year: 1984
CODEN: LNMAA2
DOI: https://doi.org/10.1007/BFb0072401
ISBN: 3-540-13899-4 (print), 3-540-39113-4 (e-book) OR 3540138994 (print), 3540391134 (ebook)
ISSN: 0075-8434 (print), 1617-9692 (electronic) OR 00758434 (print), 16179692 (electronic)
ISSNL: 0075-8434 OR 00758434
MRclass: 41A20 (41A25 65D15)
MRnumber: 783263 (86g:41025)
MRreviewer: G. Meinardus
bibdate: Fri May 9 19:07:44 MDT 2014
bibtimestamp: 2014.05.09 19:07:44 MDT
URL: http://link.springer.com/chapter/10.1007/BFb0072401/
fjournal: Lecture Notes in Mathematics
acknowledgement: ack-nhfb
bookDOI: https://doi.org/10.1007/BFb0072395
bookURL: http://www.springerlink.com/content/978-3-540-39113-5
journalURL: http://link.springer.com/bookseries/304
rawauthor: Dietrich Braess
rawtitle: On rational approximation of the exponential and the square root function
ISBN13:
978-3-540-13899-0 (print), 978-3-540-39113-5 (e-book) OR 9783540138990 (print), 9783540391135 (ebook)

bibsource:
https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/lnm1980.bib

entry:
@Article{Braess:1984:RAE,
  author =       "Dietrich Braess",
  title =        "On rational approximation of the exponential and the
                 square root function",
  journal =      j-LECT-NOTES-MATH,
  volume =       "1105",
  pages =        "89--99",
  year =         "1984",
  CODEN =        "LNMAA2",
  DOI =          "https://doi.org/10.1007/BFb0072401",
  ISBN =         "3-540-13899-4 (print), 3-540-39113-4 (e-book)",
  ISBN-13 =      "978-3-540-13899-0 (print), 978-3-540-39113-5
                 (e-book)",
  ISSN =         "0075-8434 (print), 1617-9692 (electronic)",
  ISSN-L =       "0075-8434",
  MRclass =      "41A20 (41A25 65D15)",
  MRnumber =     "783263 (86g:41025)",
  MRreviewer =   "G. Meinardus",
  bibdate =      "Fri May 9 19:07:44 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/lnm1980.bib",
  URL =          "http://link.springer.com/chapter/10.1007/BFb0072401/",
  acknowledgement = ack-nhfb,
  book-DOI =     "https://doi.org/10.1007/BFb0072395",
  book-URL =     "http://www.springerlink.com/content/978-3-540-39113-5",
  fjournal =     "Lecture Notes in Mathematics",
  journal-URL =  "http://link.springer.com/bookseries/304",
}


bibtype: article
filename: elefunt.bib
label: Campbell:1984:BFRa
author: J. B. Campbell
title: Bessel Functions $ J_nu (x) $ of real order and real argument
journal: j-COMP-PHYS-COMM
volume: 35
number: 1--3
pages: C-583--C-583
year: 1984
CODEN: CPHCBZ
DOI: https://doi.org/10.1016/S0010-4655(84)82756-3
ISSN: 0010-4655 (print), 1879-2944 (electronic) OR 00104655 (print), 18792944 (electronic)
ISSNL: 0010-4655 OR 00104655
bibdate: Sat Feb 25 10:56:33 MST 2012
bibtimestamp: 2012.02.25 10:56:33 MST
URL: http://www.sciencedirect.com/science/article/pii/S0010465584827563
fjournal: Computer Physics Communications
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00104655
rawauthor: J. B. Campbell
rawtitle: {Bessel} Functions {$ J_\nu (x) $} of real order and real argument
entry:
@Article{Campbell:1984:BFRa,
  author =       "J. B. Campbell",
  title =        "{Bessel} Functions {$ J_\nu (x) $} of real order and
                 real argument",
  journal =      j-COMP-PHYS-COMM,
  volume =       "35",
  number =       "1--3",
  pages =        "C-583--C-583",
  month =        "????",
  year =         "1984",
  CODEN =        "CPHCBZ",
  DOI =          "https://doi.org/10.1016/S0010-4655(84)82756-3",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sat Feb 25 10:56:33 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0010465584827563",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}


bibtype: article
filename: elefunt.bib
label: Campbell:1984:BFZ
author: J. B. Campbell
title: Bessel functions $ I_nu (z) $ and $ K_nu (z) $ of real order and complex argument
journal: j-COMP-PHYS-COMM
volume: 35
number: 1--3
pages: C-747--C-748
year: 1984
CODEN: CPHCBZ
DOI: https://doi.org/10.1016/S0010-4655(84)82880-5
ISSN: 0010-4655 (print), 1879-2944 (electronic) OR 00104655 (print), 18792944 (electronic)
ISSNL: 0010-4655 OR 00104655
bibdate: Sat Feb 25 10:56:49 MST 2012
bibtimestamp: 2012.02.25 10:56:49 MST
URL: http://www.sciencedirect.com/science/article/pii/S0010465584828805
fjournal: Computer Physics Communications
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00104655
rawauthor: J. B. Campbell
rawtitle: {Bessel} functions {$ I_\nu (z) $} and {$ K_\nu (z) $} of real order and complex argument
entry:
@Article{Campbell:1984:BFZ,
  author =       "J. B. Campbell",
  title =        "{Bessel} functions {$ I_\nu (z) $} and {$ K_\nu (z) $}
                 of real order and complex argument",
  journal =      j-COMP-PHYS-COMM,
  volume =       "35",
  number =       "1--3",
  pages =        "C-747--C-748",
  month =        "????",
  year =         "1984",
  CODEN =        "CPHCBZ",
  DOI =          "https://doi.org/10.1016/S0010-4655(84)82880-5",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sat Feb 25 10:56:49 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0010465584828805",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}


bibtype: article
filename: elefunt.bib
label: Coleman:1984:FSB
author: J. P. Coleman
title: A Fortran subroutine for the Bessel function $ J_n(x) $ of order $0$ to $ 10 $
journal: j-COMP-PHYS-COMM
volume: 35
number: 1--3
pages: C-654--C-654
year: 1984
CODEN: CPHCBZ
DOI: https://doi.org/10.1016/S0010-4655(84)82814-3
ISSN: 0010-4655 (print), 1879-2944 (electronic) OR 00104655 (print), 18792944 (electronic)
ISSNL: 0010-4655 OR 00104655
bibdate: Sat Feb 25 10:56:41 MST 2012
bibtimestamp: 2012.02.25 10:56:41 MST
URL: http://www.sciencedirect.com/science/article/pii/S0010465584828143
fjournal: Computer Physics Communications
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00104655
rawauthor: J. P. Coleman
rawtitle: A {Fortran} subroutine for the {Bessel} function {$ J_n(x) $} of order $0$ to $ 10 $
bibsource:
https://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fortran2.bib

remark:
No code shown, but sums two separate Chebyshev series, one for $x$ in $ [0, 8] $, and a second for $x$ in $ (8, infty ) $. Function name is tt realjn.

entry:
@Article{Coleman:1984:FSB,
  author =       "J. P. Coleman",
  title =        "A {Fortran} subroutine for the {Bessel} function {$
                 J_n(x) $} of order $0$ to $ 10 $",
  journal =      j-COMP-PHYS-COMM,
  volume =       "35",
  number =       "1--3",
  pages =        "C-654--C-654",
  month =        "????",
  year =         "1984",
  CODEN =        "CPHCBZ",
  DOI =          "https://doi.org/10.1016/S0010-4655(84)82814-3",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sat Feb 25 10:56:41 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/fortran2.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0010465584828143",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
  remark =       "No code shown, but sums two separate Chebyshev series,
                 one for $x$ in $ [0, 8] $, and a second for $x$ in $
                 (8, \infty) $. Function name is {\tt realjn}.",
}


bibtype: article
filename: elefunt.bib
label: Delic:1984:CSS
author: G. Delic
title: Chebyshev series for the spherical Bessel function $ j_l(r) $
journal: j-COMP-PHYS-COMM
volume: 35
number: 1--3
pages: C-577--C-577
year: 1984
CODEN: CPHCBZ
DOI: https://doi.org/10.1016/S0010-4655(84)82751-4
ISSN: 0010-4655 (print), 1879-2944 (electronic) OR 00104655 (print), 18792944 (electronic)
ISSNL: 0010-4655 OR 00104655
bibdate: Sat Feb 25 10:56:33 MST 2012
bibtimestamp: 2012.02.25 10:56:33 MST
URL: http://www.sciencedirect.com/science/article/pii/S0010465584827514
fjournal: Computer Physics Communications
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00104655
rawauthor: G. Delic
rawtitle: {Chebyshev} series for the spherical {Bessel} function $ j_l(r) $
entry:
@Article{Delic:1984:CSS,
  author =       "G. Delic",
  title =        "{Chebyshev} series for the spherical {Bessel} function
                 $ j_l(r) $",
  journal =      j-COMP-PHYS-COMM,
  volume =       "35",
  number =       "1--3",
  pages =        "C-577--C-577",
  month =        "????",
  year =         "1984",
  CODEN =        "CPHCBZ",
  DOI =          "https://doi.org/10.1016/S0010-4655(84)82751-4",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sat Feb 25 10:56:33 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0010465584827514",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}


bibtype: article
filename: elefunt.bib
label: Demsky:1984:MMC
author: J. Demsky and M. Schlesinger and R. D. Kent
title: Micro/mini computer program for calculating the square root of rationals at arbitrary precision
journal: j-COMP-PHYS-COMM
volume: 35
number: 1--3
pages: C-877
year: 1984
CODEN: CPHCBZ
DOI: https://doi.org/10.1016/S0010-4655(84)82981-1
ISSN: 0010-4655 (print), 1879-2944 (electronic) OR 00104655 (print), 18792944 (electronic)
ISSNL: 0010-4655 OR 00104655
bibdate: Sat Feb 25 10:56:58 MST 2012
bibtimestamp: 2012.02.25 10:56:58 MST
URL: http://www.sciencedirect.com/science/article/pii/S0010465584829811
fjournal: Computer Physics Communications
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00104655
rawauthor: J. Demsky and M. Schlesinger and R. D. Kent
rawtitle: Micro/mini computer program for calculating the square root of rationals at arbitrary precision
bibsource:
https://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib

entry:
@Article{Demsky:1984:MMC,
  author =       "J. Demsky and M. Schlesinger and R. D. Kent",
  title =        "Micro/mini computer program for calculating the square
                 root of rationals at arbitrary precision",
  journal =      j-COMP-PHYS-COMM,
  volume =       "35",
  number =       "1--3",
  pages =        "C-877",
  month =        "????",
  year =         "1984",
  CODEN =        "CPHCBZ",
  DOI =          "https://doi.org/10.1016/S0010-4655(84)82981-1",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sat Feb 25 10:56:58 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0010465584829811",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}


bibtype: article
filename: elefunt.bib
label: Dhanoa:1984:BPE
author: M. S. Dhanoa and J. France
title: A BASIC program for the evaluation of the gamma functions
journal: j-J-APPL-STAT
volume: 11
number: 2
pages: 225--228
year: 1984
DOI: https://doi.org/10.1080/02664768400000021
ISSN: 0266-4763 (print), 1360-0532 (electronic) OR 02664763 (print), 13600532 (electronic)
ISSNL: 0266-4763 OR 02664763
bibdate: Tue Sep 6 11:15:50 MDT 2011
bibtimestamp: 2011.09.06 11:15:50 MDT
fjournal: Journal of Applied Statistics
acknowledgement: ack-nhfb
journalURL: http://www.tandfonline.com/loi/cjas20
onlinedate: 24 May 2006
rawauthor: M. S. Dhanoa and J. France
rawtitle: A {BASIC} program for the evaluation of the gamma functions
bibsource:
http://www.tandf.co.uk/journals/routledge/02664763.html; https://www.math.utah.edu/pub/tex/bib/elefunt.bib

entry:
@Article{Dhanoa:1984:BPE,
  author =       "M. S. Dhanoa and J. France",
  title =        "A {BASIC} program for the evaluation of the gamma
                 functions",
  journal =      j-J-APPL-STAT,
  volume =       "11",
  number =       "2",
  pages =        "225--228",
  year =         "1984",
  CODEN =        "????",
  DOI =          "https://doi.org/10.1080/02664768400000021",
  ISSN =         "0266-4763 (print), 1360-0532 (electronic)",
  ISSN-L =       "0266-4763",
  bibdate =      "Tue Sep 6 11:15:50 MDT 2011",
  bibsource =    "http://www.tandf.co.uk/journals/routledge/02664763.html;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Applied Statistics",
  journal-URL =  "http://www.tandfonline.com/loi/cjas20",
  onlinedate =   "24 May 2006",
}


bibtype: techreport
filename: elefunt.bib
label: DiDonato:1984:IGF
author: Armido R. DiDonato
title: The incomplete gamma function ratios using Temme's asymptotic expansions
type: Report
number: NSWC TR 84-79
institution: Naval Surface Weapons Center
address: Dahlgren, VA, USA
pages: 225--228
year: 1984
bibdate: Mon Jun 03 12:24:32 2024
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2024.06.03 12:24:32 ???
acknowledgement: ack-nhfb
rawauthor: Armido R. DiDonato
rawtitle: The incomplete gamma function ratios using {Temme}'s asymptotic expansions
entry:
@TechReport{DiDonato:1984:IGF,
  author =       "Armido R. DiDonato",
  title =        "The incomplete gamma function ratios using {Temme}'s
                 asymptotic expansions",
  type =         "Report",
  number =       "NSWC TR 84-79",
  institution =  "Naval Surface Weapons Center",
  address =      "Dahlgren, VA, USA",
  year =         "1984",
  bibdate =      "Mon Jun 03 12:24:32 2024",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}


bibtype: article
filename: elefunt.bib
label: Dutka:1984:EHH
author: Jacques Dutka
title: The early history of the hypergeometric function
journal: j-ARCH-HIST-EXACT-SCI
volume: 31
number: 1
pages: 15--34
month: mar
monthnumber: 3
year: 1984
CODEN: AHESAN
DOI: https://doi.org/10.1007/BF00330241
ISSN: 0003-9519 (print), 1432-0657 (electronic) OR 00039519 (print), 14320657 (electronic)
ISSNL: 0003-9519 OR 00039519
MRclass: 01A50 (33-03)
MRnumber: 769538 (86d:01010)
MRreviewer: Willard Parker
bibdate: Fri Feb 4 21:50:21 MST 2011
bibtimestamp: 2011.02.04 21:50:21 MST
URL: http://www.springerlink.com/openurl.asp?genre=article&issn=0003-9519&volume=31&issue=1&spage=15
fjournal: Archive for History of Exact Sciences
acknowledgement: ack-nhfb
journalURL: http://link.springer.com/journal/407
rawauthor: Jacques Dutka
rawtitle: The early history of the hypergeometric function
bibsource:
http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0003-9519&volume=31&issue=1; https://www.math.utah.edu/pub/tex/bib/elefunt.bib

entry:
@Article{Dutka:1984:EHH,
  author =       "Jacques Dutka",
  title =        "The early history of the hypergeometric function",
  journal =      j-ARCH-HIST-EXACT-SCI,
  volume =       "31",
  number =       "1",
  pages =        "15--34",
  month =        mar,
  year =         "1984",
  CODEN =        "AHESAN",
  DOI =          "https://doi.org/10.1007/BF00330241",
  ISSN =         "0003-9519 (print), 1432-0657 (electronic)",
  ISSN-L =       "0003-9519",
  MRclass =      "01A50 (33-03)",
  MRnumber =     "769538 (86d:01010)",
  MRreviewer =   "Willard Parker",
  bibdate =      "Fri Feb 4 21:50:21 MST 2011",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0003-9519&volume=31&issue=1;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0003-9519&volume=31&issue=1&spage=15",
  acknowledgement = ack-nhfb,
  fjournal =     "Archive for History of Exact Sciences",
  journal-URL =  "http://link.springer.com/journal/407",
  MRtitle =      "The early history of the hypergeometric function",
}


bibtype: article
filename: elefunt.bib
label: Fransen:1984:CMM
author: Arne Fransen and Staffan Wrigge
title: Calculation of the moments and the moment generating function for the reciprocal gamma distribution
journal: j-MATH-COMPUT
volume: 42
number: 166
pages: 601--616
month: apr
monthnumber: 4
year: 1984
CODEN: MCMPAF
ISSN: 0025-5718 (print), 1088-6842 (electronic) OR 00255718 (print), 10886842 (electronic)
ISSNL: 0025-5718 OR 00255718
MRclass: 65D20 (60E10 62E15 65U05)
MRnumber: 86f:65042a
bibdate: Tue Oct 13 08:06:19 MDT 1998
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; JSTOR database
bibtimestamp: 1998.10.13 08:06:19 MDT
fjournal: Mathematics of Computation
acknowledgement: ack-nhfb
corpsource: Nat. Defence Res. Inst., Stockholm, Sweden
journalURL: http://www.ams.org/mcom/
treatment: T Theoretical or Mathematical
rawauthor: Arne Frans{\'e}n and Staffan Wrigge
rawtitle: Calculation of the moments and the moment generating function for the reciprocal gamma distribution
keywords:
kurtosis; moment generating function; moments; polynomials; reciprocal gamma distribution; reliability theory; skewness; variance

classcodes:
B0290F (Interpolation and function approximation); C1210B (Reliability theory); C4130 (Interpolation and function approximation)

entry:
@Article{Fransen:1984:CMM,
  author =       "Arne Frans{\'e}n and Staffan Wrigge",
  title =        "Calculation of the moments and the moment generating
                 function for the reciprocal gamma distribution",
  journal =      j-MATH-COMPUT,
  volume =       "42",
  number =       "166",
  pages =        "601--616",
  month =        apr,
  year =         "1984",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65D20 (60E10 62E15 65U05)",
  MRnumber =     "86f:65042a",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290F (Interpolation and function approximation);
                 C1210B (Reliability theory); C4130 (Interpolation and
                 function approximation)",
  corpsource =   "Nat. Defence Res. Inst., Stockholm, Sweden",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "kurtosis; moment generating function; moments;
                 polynomials; reciprocal gamma distribution; reliability
                 theory; skewness; variance",
  treatment =    "T Theoretical or Mathematical",
}


bibtype: article
filename: elefunt.bib
label: Glaeske:1984:LTS
author: H.-J. Glaeske and O. I. Maricev
title: The Laguerre transform of some elementary functions
journal: j-Z-ANAL-ANWEND
volume: 3
number: 3
pages: 237--244
year: 1984
ISSN: 0232-2064 (print), 1661-4534 (electronic) OR 02322064 (print), 16614534 (electronic)
ISSNL: 0232-2064 OR 02322064
MRclass: 44A15 (34A10)
MRnumber: 86a:44005
MRreviewer: Ram Kishore Saxena
bibdate: Sat Jan 11 17:44:01 MST 1997
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 1997.01.11 17:44:01 MST
fjournal: Zeitschrift fur Analysis und ihre Anwendungen
acknowledgement: ack-nhfb
rawauthor: H.-J. Glaeske and O. I. Mari{\v{c}}ev
rawtitle: The {Laguerre} transform of some elementary functions
entry:
@Article{Glaeske:1984:LTS,
  author =       "H.-J. Glaeske and O. I. Mari{\v{c}}ev",
  title =        "The {Laguerre} transform of some elementary
                 functions",
  journal =      j-Z-ANAL-ANWEND,
  volume =       "3",
  number =       "3",
  pages =        "237--244",
  year =         "1984",
  ISSN =         "0232-2064 (print), 1661-4534 (electronic)",
  ISSN-L =       "0232-2064",
  MRclass =      "44A15 (34A10)",
  MRnumber =     "86a:44005",
  MRreviewer =   "Ram Kishore Saxena",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "{Zeitschrift f{\"u}r Analysis und ihre Anwendungen}",
}


bibtype: article
filename: elefunt.bib
label: Grodd:1984:REN
author: Laurence W. Grodd and Charles M. Patton
title: ROM extends numerical function set of handheld computer
journal: j-HEWLETT-PACKARD-J
volume: 35
number: 7
pages: 25--36
month: jul
monthnumber: 7
year: 1984
CODEN: HPJOAX
ISSN: 0018-1153 OR 00181153
bibdate: Tue Mar 25 14:12:15 MST 1997
bibsource: Compendex database; https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 1997.03.25 14:12:15 MST
URL: http://www.hpl.hp.com/hpjournal/pdfs/IssuePDFs/1984-07.pdf
fjournal: Hewlett-Packard Journal: technical information from the laboratories of Hewlett-Packard Company
acknowledgement: ack-nhfb
affiliation: Hewlett--Packard Co, Corvallis, OR, USA
affiliationaddress: Hewlett--Packard Co, Corvallis, OR, USA
classcodes: C7310 (Mathematics computing)
journalabr: Hewlett Packard J
treatment: P Practical; X Experimental
rawauthor: Laurence W. Grodd and Charles M. Patton
rawtitle: {ROM} extends numerical function set of handheld computer
abstract:
The plug-in math PAC for HP's new HP-71B Handheld Computer further extends the HP-71B's comprehensive standard numerical function set to provide a mathematical tool of unprecedented capability and power in a personal machine. Full use of complex variables, integration, matrix algebra, and polynomial root finding are some of the capabilities provided by this plug-in module.

keywords:
complex; complex variables; computers, miniature; data storage, digital --- Fixed; data type; extended I/O functions; fast Fourier transform; handheld computer; HP-71B hand-held computer; matrix operations; numerical analysis; numerical function set; polynomial; read-only storage; ROM; root finder

remark:
The paper notes: ``Completely support provisions of the proposed IEEE floating-point mathematics standard. ldots an HP-71B REAL variable --- a 12-digit mantissa and a three-digit exponent in the range from $ - 499 $ to $ 499 $. Each part of a COMPLEX SHORT variable or array element has the same precision as an HP-71B SHORT variable --- a five-digit mantissa and a three-digit exponent in the range from $ - 499 $ to $ 499 $. Of course, denormalized numbers, Inf (infinity), and NaNs (not-a-numbers) are also permitted.''

rawabstract:
The plug-in math PAC for HP's new HP-71B Handheld Computer further extends the HP-71B's comprehensive standard numerical function set to provide a mathematical tool of unprecedented capability and power in a personal machine. Full use of complex variables, integration, matrix algebra, and polynomial root finding are some of the capabilities provided by this plug-in module.

entry:
@Article{Grodd:1984:REN,
  author =       "Laurence W. Grodd and Charles M. Patton",
  title =        "{ROM} extends numerical function set of handheld
                 computer",
  journal =      j-HEWLETT-PACKARD-J,
  volume =       "35",
  number =       "7",
  pages =        "25--36",
  month =        jul,
  year =         "1984",
  CODEN =        "HPJOAX",
  ISSN =         "0018-1153",
  bibdate =      "Tue Mar 25 14:12:15 MST 1997",
  bibsource =    "Compendex database;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.hpl.hp.com/hpjournal/pdfs/IssuePDFs/1984-07.pdf",
  abstract =     "The plug-in math PAC for HP's new HP-71B Handheld
                 Computer further extends the HP-71B's comprehensive
                 standard numerical function set to provide a
                 mathematical tool of unprecedented capability and power
                 in a personal machine. Full use of complex variables,
                 integration, matrix algebra, and polynomial root
                 finding are some of the capabilities provided by this
                 plug-in module.",
  acknowledgement = ack-nhfb,
  affiliation =  "Hewlett--Packard Co, Corvallis, OR, USA",
  affiliationaddress = "Hewlett--Packard Co, Corvallis, OR, USA",
  classcodes =   "C7310 (Mathematics computing)",
  classification = "723",
  fjournal =     "Hewlett-Packard Journal: technical information from
                 the laboratories of Hewlett-Packard Company",
  journalabr =   "Hewlett Packard J",
  keywords =     "complex; complex variables; computers, miniature; data
                 storage, digital --- Fixed; data type; extended I/O
                 functions; fast Fourier transform; handheld computer;
                 HP-71B hand-held computer; matrix operations; numerical
                 analysis; numerical function set; polynomial; read-only
                 storage; ROM; root finder",
  remark =       "The paper notes: ``Completely support provisions of
                 the proposed IEEE floating-point mathematics standard.
                 \ldots{} an HP-71B REAL variable --- a 12-digit
                 mantissa and a three-digit exponent in the range from $
                 - 499 $ to $ 499 $. Each part of a COMPLEX SHORT
                 variable or array element has the same precision as an
                 HP-71B SHORT variable --- a five-digit mantissa and a
                 three-digit exponent in the range from $ - 499 $ to $
                 499 $. Of course, denormalized numbers, Inf (infinity),
                 and NaNs (not-a-numbers) are also permitted.''",
  treatment =    "P Practical; X Experimental",
}


bibtype: article
filename: elefunt.bib
label: Gustafson:1984:SCC
author: Sven-AA ke Gustafson
title: On the stability of a class of convergence acceleration methods for power series
journal: j-BIT
volume: 24
number: 4
pages: 510--519
month: dec
monthnumber: 12
year: 1984
CODEN: BITTEL, NBITAB
DOI: https://doi.org/10.1007/BF01934909
ISSN: 0006-3835 (print), 1572-9125 (electronic) OR 00063835 (print), 15729125 (electronic)
ISSNL: 0006-3835 OR 00063835
MRclass: 65B10
MRnumber: 764823 (86c:65006)
MRreviewer: D. Levin
bibdate: Thu Dec 1 17:36:45 2011
bibtimestamp: 2011.12.01 17:36:45 ???
URL: http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=24&issue=4&spage=510
fjournal: BIT (Nordisk tidskrift for informationsbehandling)
keywords: convergence acceleration
acknowledgement: ack-nhfb
journalURL: http://link.springer.com/journal/10543
rawauthor: Sven-{\AA}ke Gustafson
rawtitle: On the stability of a class of convergence acceleration methods for power series
bibsource:
http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=24&issue=4; https://www.math.utah.edu/pub/tex/bib/bit.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib

entry:
@Article{Gustafson:1984:SCC,
  author =       "Sven-{\AA}ke Gustafson",
  title =        "On the stability of a class of convergence
                 acceleration methods for power series",
  journal =      j-BIT,
  volume =       "24",
  number =       "4",
  pages =        "510--519",
  month =        dec,
  year =         "1984",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "https://doi.org/10.1007/BF01934909",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  MRclass =      "65B10",
  MRnumber =     "764823 (86c:65006)",
  MRreviewer =   "D. Levin",
  bibdate =      "Thu Dec 1 17:36:45 2011",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=24&issue=4;
                 https://www.math.utah.edu/pub/tex/bib/bit.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=24&issue=4&spage=510",
  acknowledgement = ack-nhfb,
  fjournal =     "BIT (Nordisk tidskrift for informationsbehandling)",
  journal-URL =  "http://link.springer.com/journal/10543",
  keywords =     "convergence acceleration",
}


bibtype: article
filename: elefunt.bib
label: Karp:1984:ELS
author: A. H. Karp
title: Exponential and Logarithm by Sequential Squaring
journal: j-IEEE-TRANS-COMPUT
volume: C-33
number: 5
pages: 462--464
month: may
monthnumber: 5
year: 1984
CODEN: ITCOB4
DOI: https://doi.org/10.1109/TC.1984.1676464
ISSN: 0018-9340 (print), 1557-9956 (electronic) OR 00189340 (print), 15579956 (electronic)
ISSNL: 0018-9340 OR 00189340
bibdate: Sun Jul 10 09:22:52 MDT 2011
bibtimestamp: 2011.07.10 09:22:52 MDT
URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1676464
fjournal: IEEE Transactions on Computers
acknowledgement: ack-nj
ajournal: IEEE Trans. Comput.
journalURL: http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12
rawauthor: A. H. Karp
rawtitle: Exponential and Logarithm by Sequential Squaring
bibsource:
ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/ieeetranscomput1980.bib

entry:
@Article{Karp:1984:ELS,
  author =       "A. H. Karp",
  title =        "Exponential and Logarithm by Sequential Squaring",
  journal =      j-IEEE-TRANS-COMPUT,
  volume =       "C-33",
  number =       "5",
  pages =        "462--464",
  month =        may,
  year =         "1984",
  CODEN =        "ITCOB4",
  DOI =          "https://doi.org/10.1109/TC.1984.1676464",
  ISSN =         "0018-9340 (print), 1557-9956 (electronic)",
  ISSN-L =       "0018-9340",
  bibdate =      "Sun Jul 10 09:22:52 MDT 2011",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/ieeetranscomput1980.bib",
  URL =          "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1676464",
  acknowledgement = ack-nj # "\slash " # ack-nhfb,
  ajournal =     "IEEE Trans. Comput.",
  fjournal =     "IEEE Transactions on Computers",
  journal-URL =  "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12",
}


bibtype: article
filename: elefunt.bib
label: Kolbig:1984:PCL
author: K. S. Kolbig
journal: j-COMP-PHYS-COMM
volume: 35
number: 1--3
pages: C-152
year: 1984
CODEN: CPHCBZ
DOI: https://doi.org/10.1016/S0010-4655(84)82404-2
ISSN: 0010-4655 (print), 1879-2944 (electronic) OR 00104655 (print), 18792944 (electronic)
ISSNL: 0010-4655 OR 00104655
bibdate: Sat Feb 25 10:56:06 MST 2012
bibtimestamp: 2012.02.25 10:56:06 MST
URL: http://www.sciencedirect.com/science/article/pii/S0010465584824042
fjournal: Computer Physics Communications
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00104655
rawauthor: K. S. K{\"o}lbig
title:
Programs for computing the logarithm of the gamma function, and the digamma function, for complex argument

rawtitle:
Programs for computing the logarithm of the gamma function, and the digamma function, for complex argument

entry:
@Article{Kolbig:1984:PCL,
  author =       "K. S. K{\"o}lbig",
  title =        "Programs for computing the logarithm of the gamma
                 function, and the digamma function, for complex
                 argument",
  journal =      j-COMP-PHYS-COMM,
  volume =       "35",
  number =       "1--3",
  pages =        "C-152",
  month =        "????",
  year =         "1984",
  CODEN =        "CPHCBZ",
  DOI =          "https://doi.org/10.1016/S0010-4655(84)82404-2",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sat Feb 25 10:56:06 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0010465584824042",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}


bibtype: article
filename: elefunt.bib
label: Laforgia:1984:FIG
author: Andrea Laforgia
title: Further Inequalities for the Gamma Function
journal: j-MATH-COMPUT
volume: 42
number: 166
pages: 597--600
month: apr
monthnumber: 4
year: 1984
CODEN: MCMPAF
ISSN: 0025-5718 (print), 1088-6842 (electronic) OR 00255718 (print), 10886842 (electronic)
ISSNL: 0025-5718 OR 00255718
MRclass: 33A15
MRnumber: 85i:33001
MRreviewer: H. E. Fettis
bibdate: Tue Oct 13 08:06:19 MDT 1998
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; JSTOR database
bibtimestamp: 1998.10.13 08:06:19 MDT
fjournal: Mathematics of Computation
keywords: gamma function; inequalities; polynomials
acknowledgement: ack-nhfb
classcodes: B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)
corpsource: Dept. of Math., Univ. of Torino, Torino, Italy
journalURL: http://www.ams.org/mcom/
treatment: T Theoretical or Mathematical
rawauthor: Andrea Laforgia
rawtitle: Further Inequalities for the Gamma Function
entry:
@Article{Laforgia:1984:FIG,
  author =       "Andrea Laforgia",
  title =        "Further Inequalities for the Gamma Function",
  journal =      j-MATH-COMPUT,
  volume =       "42",
  number =       "166",
  pages =        "597--600",
  month =        apr,
  year =         "1984",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "33A15",
  MRnumber =     "85i:33001",
  MRreviewer =   "H. E. Fettis",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290F (Interpolation and function approximation);
                 C4130 (Interpolation and function approximation)",
  corpsource =   "Dept. of Math., Univ. of Torino, Torino, Italy",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "gamma function; inequalities; polynomials",
  treatment =    "T Theoretical or Mathematical",
}


bibtype: article
filename: elefunt.bib
label: McCurley:1984:EE
author: Kevin S. McCurley
title: Explicit Estimates for $ theta (x; 3, l) $ and $ psi (x; 3, l) $
journal: j-MATH-COMPUT
volume: 42
number: 165
pages: 287--296
month: jan
monthnumber: 1
year: 1984
CODEN: MCMPAF
ISSN: 0025-5718 (print), 1088-6842 (electronic) OR 00255718 (print), 10886842 (electronic)
ISSNL: 0025-5718 OR 00255718
MRclass: 11N56
MRnumber: 85g:11085
MRreviewer: G. J. Rieger
bibdate: Tue Oct 13 08:06:19 MDT 1998
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; JSTOR database
bibtimestamp: 1998.10.13 08:06:19 MDT
fjournal: Mathematics of Computation
acknowledgement: ack-nhfb
classcodes: B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)
corpsource: Dept. of Maths., Michigan State Univ., East Lansing, MI, USA
journalURL: http://www.ams.org/mcom/
treatment: T Theoretical or Mathematical
rawauthor: Kevin S. McCurley
rawtitle: Explicit Estimates for $ \theta (x; 3, l) $ and $ \psi (x; 3, l) $
keywords:
arithmetic progressions; Chebyshev approximation; Chebyshev functions; Dirichlet L-; explicit estimates; functions; prime number; theorem; zeros

entry:
@Article{McCurley:1984:EE,
  author =       "Kevin S. McCurley",
  title =        "Explicit Estimates for $ \theta (x; 3, l) $ and $ \psi
                 (x; 3, l) $",
  journal =      j-MATH-COMPUT,
  volume =       "42",
  number =       "165",
  pages =        "287--296",
  month =        jan,
  year =         "1984",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "11N56",
  MRnumber =     "85g:11085",
  MRreviewer =   "G. J. Rieger",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290F (Interpolation and function approximation);
                 C4130 (Interpolation and function approximation)",
  corpsource =   "Dept. of Maths., Michigan State Univ., East Lansing,
                 MI, USA",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "arithmetic progressions; Chebyshev approximation;
                 Chebyshev functions; Dirichlet L-; explicit estimates;
                 functions; prime number; theorem; zeros",
  treatment =    "T Theoretical or Mathematical",
}


bibtype: article
filename: elefunt.bib
label: Moon:1984:AFC
author: Wooil Moon
title: Airy function with complex arguments
journal: j-COMP-PHYS-COMM
volume: 35
number: 1--3
pages: C-692
year: 1984
CODEN: CPHCBZ
DOI: https://doi.org/10.1016/S0010-4655(84)82842-8
ISSN: 0010-4655 (print), 1879-2944 (electronic) OR 00104655 (print), 18792944 (electronic)
ISSNL: 0010-4655 OR 00104655
bibdate: Sat Feb 25 10:56:41 MST 2012
bibtimestamp: 2012.02.25 10:56:41 MST
URL: http://www.sciencedirect.com/science/article/pii/S0010465584828428
fjournal: Computer Physics Communications
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00104655
rawauthor: Wooil Moon
rawtitle: {Airy} function with complex arguments
entry:
@Article{Moon:1984:AFC,
  author =       "Wooil Moon",
  title =        "{Airy} function with complex arguments",
  journal =      j-COMP-PHYS-COMM,
  volume =       "35",
  number =       "1--3",
  pages =        "C-692",
  month =        "????",
  year =         "1984",
  CODEN =        "CPHCBZ",
  DOI =          "https://doi.org/10.1016/S0010-4655(84)82842-8",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sat Feb 25 10:56:41 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0010465584828428",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}


bibtype: techreport
filename: elefunt.bib
label: Morris:1984:NLM
author: A. H. Morris
title: NSWC library of mathematics subroutines
type: Report
number: NSWC TR 84-143
institution: Naval Surface Weapons Center
address: Dahlgren, VA, USA
pages: C-692
year: 1984
bibdate: Mon Jun 03 12:24:32 2024
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2024.06.03 12:24:32 ???
acknowledgement: ack-nhfb
rawauthor: A. H. Morris
rawtitle: {NSWC} library of mathematics subroutines
entry:
@TechReport{Morris:1984:NLM,
  author =       "A. H. Morris",
  title =        "{NSWC} library of mathematics subroutines",
  type =         "Report",
  number =       "NSWC TR 84-143",
  institution =  "Naval Surface Weapons Center",
  address =      "Dahlgren, VA, USA",
  year =         "1984",
  bibdate =      "Mon Jun 03 12:24:32 2024",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}


bibtype: article
filename: elefunt.bib
label: Nesbet:1984:ARI
author: R. K. Nesbet
title: Algorithms for regular and irregular Coulomb and Bessel functions
journal: j-COMP-PHYS-COMM
volume: 32
number: 4
pages: 341--347
month: jul
monthnumber: 7
year: 1984
CODEN: CPHCBZ
DOI: https://doi.org/10.1016/0010-4655(84)90051-1
ISSN: 0010-4655 (print), 1879-2944 (electronic) OR 00104655 (print), 18792944 (electronic)
ISSNL: 0010-4655 OR 00104655
bibdate: Thu Apr 24 10:35:27 2008
bibtimestamp: 2008.04.24 10:35:27 ???
URL: http://www.sciencedirect.com/science/article/pii/0010465584900511
fjournal: Computer Physics Communications
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00104655
rawauthor: R. K. Nesbet
rawtitle: Algorithms for regular and irregular {Coulomb} and {Bessel} functions
abstract:
Algorithms for computing Coulomb--Bessel functions are considered, with emphasis on obtaining accurate values when the argument $x$ is inside the classical turning point $ x lambda $. Algorithms of Barnett et al. for the generalized Coulomb functions and their derivatives are discussed in the context of the phase integral formalism. Modified or alternative algorithms are considered that are designed to be valid for all values of argument $x$ and index $ lambda $ for the functions $ F_lambda (x) $, $ G_lambda (x) $. An algorithm for accelerating convergence of a power series by conversion to a continued fraction is presented, and is applied to the evaluation of spherical Bessel functions. An explicit formula for the integrand of the phase integral is presented for spherical Bessel functions. The methods considered need to be augmented by an efficient algorithm for computing the logarithmic derivative of $ G_0 + i F_0 $ for Coulomb functions when $x$ is smaller than the charge parameter $ eta $.

rawabstract:
Algorithms for computing Coulomb--Bessel functions are considered, with emphasis on obtaining accurate values when the argument $x$ is inside the classical turning point $ x \lambda $. Algorithms of Barnett et al. for the generalized Coulomb functions and their derivatives are discussed in the context of the phase integral formalism. Modified or alternative algorithms are considered that are designed to be valid for all values of argument $x$ and index $ \lambda $ for the functions $ F_\lambda (x) $, $ G_\lambda (x) $. An algorithm for accelerating convergence of a power series by conversion to a continued fraction is presented, and is applied to the evaluation of spherical Bessel functions. An explicit formula for the integrand of the phase integral is presented for spherical Bessel functions. The methods considered need to be augmented by an efficient algorithm for computing the logarithmic derivative of $ G_0 + i F_0 $ for Coulomb functions when $x$ is smaller than the charge parameter $ \eta $.

entry:
@Article{Nesbet:1984:ARI,
  author =       "R. K. Nesbet",
  title =        "Algorithms for regular and irregular {Coulomb} and
                 {Bessel} functions",
  journal =      j-COMP-PHYS-COMM,
  volume =       "32",
  number =       "4",
  pages =        "341--347",
  month =        jul,
  year =         "1984",
  CODEN =        "CPHCBZ",
  DOI =          "https://doi.org/10.1016/0010-4655(84)90051-1",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Thu Apr 24 10:35:27 2008",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0010465584900511",
  abstract =     "Algorithms for computing Coulomb--Bessel functions are
                 considered, with emphasis on obtaining accurate values
                 when the argument $x$ is inside the classical turning
                 point $ x \lambda $. Algorithms of Barnett et al. for
                 the generalized Coulomb functions and their derivatives
                 are discussed in the context of the phase integral
                 formalism. Modified or alternative algorithms are
                 considered that are designed to be valid for all values
                 of argument $x$ and index $ \lambda $ for the functions
                 $ F_\lambda (x) $, $ G_\lambda (x) $. An algorithm for
                 accelerating convergence of a power series by
                 conversion to a continued fraction is presented, and is
                 applied to the evaluation of spherical Bessel
                 functions. An explicit formula for the integrand of the
                 phase integral is presented for spherical Bessel
                 functions. The methods considered need to be augmented
                 by an efficient algorithm for computing the logarithmic
                 derivative of $ G_0 + i F_0 $ for Coulomb functions
                 when $x$ is smaller than the charge parameter $ \eta
                 $.",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}


bibtype: article
filename: elefunt.bib
label: Newman:1984:ABS
author: J. N. Newman
title: Approximations for the Bessel and Struve functions
journal: j-MATH-COMPUT
volume: 43
number: 168
pages: 551--556
month: oct
monthnumber: 10
year: 1984
CODEN: MCMPAF
DOI: https://doi.org/10.1090/S0025-5718-1984-0758202-X
ISSN: 0025-5718 (print), 1088-6842 (electronic) OR 00255718 (print), 10886842 (electronic)
ISSNL: 0025-5718 OR 00255718
MRclass: 65D20 (33A40)
MRnumber: 86c:65021
MRreviewer: S. Conde
bibdate: Tue Oct 13 08:06:19 MDT 1998
bibtimestamp: 1998.10.13 08:06:19 MDT
fjournal: Mathematics of Computation
acknowledgement: ack-nhfb
corpsource: Dept. of Ocean Eng., MIT, Cambridge, MA, USA
journalURL: http://www.ams.org/mcom/
treatment: T Theoretical or Mathematical
rawauthor: J. N. Newman
rawtitle: Approximations for the {Bessel} and {Struve} functions
bibsource:
https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database

keywords:
accuracy; Bessel functions; function approximation; functions; IBM PC computer; minimax; polynomial approximations; polynomials; rational-fraction approximations; single-precision computations; Struve

classcodes:
B0290F (Interpolation and function approximation); C1120 (Mathematical analysis); C4130 (Interpolation and function approximation)

entry:
@Article{Newman:1984:ABS,
  author =       "J. N. Newman",
  title =        "Approximations for the {Bessel} and {Struve}
                 functions",
  journal =      j-MATH-COMPUT,
  volume =       "43",
  number =       "168",
  pages =        "551--556",
  month =        oct,
  year =         "1984",
  CODEN =        "MCMPAF",
  DOI =          "https://doi.org/10.1090/S0025-5718-1984-0758202-X",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65D20 (33A40)",
  MRnumber =     "86c:65021",
  MRreviewer =   "S. Conde",
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  classcodes =   "B0290F (Interpolation and function approximation);
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bibtype: techreport
filename: elefunt.bib
label: Ng:1984:DAA
author: K. C. Ng
title: Contributions to the computation of the matrix exponential
type: Report
number: PAM-212
institution: inst-CPAM-UCB
address: inst-CPAM-UCB:adr
pages: 551--556
month: feb
monthnumber: 2
year: 1984
bibdate: Fri Nov 11 09:06:19 2005
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2005.11.11 09:06:19 ???
note: Based on the author's Ph.D. thesis.
keywords: $exp (Bt)$
acknowledgement: ack-nhfb
rawauthor: K. C. Ng
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bibtype: article
filename: elefunt.bib
label: Nishimoto:1984:TFD
author: Katsuyuki Nishimoto
title: Tables of fractional differintegrations of elementary functions
journal: J. College Engrg. Nihon Univ. Ser. B
volume: 25
pages: 41--46
year: 1984
ISSN: 0285-6182 OR 02856182
MRclass: 30E20 (26A33)
MRnumber: 85f:30065
bibdate: Sat Jan 11 17:44:01 MST 1997
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 1997.01.11 17:44:01 MST
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bibtype: article
filename: elefunt.bib
label: Noble:1984:CPE
author: C. J. Noble and I. J. Thompson
title: COULN, a program for evaluating negative energy Coulomb functions
journal: j-COMP-PHYS-COMM
volume: 33
number: 4
pages: 413--419
month: oct
monthnumber: 10
year: 1984
CODEN: CPHCBZ
DOI: https://doi.org/10.1016/0010-4655(84)90146-2
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bibdate: Fri Feb 24 13:39:14 MST 2012
bibtimestamp: 2012.02.24 13:39:14 MST
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bibtype: article
filename: elefunt.bib
label: Piessens:1984:ACB
author: R. Piessens
title: Automatic computation of Bessel function integrals
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number: 1--3
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year: 1984
CODEN: CPHCBZ
DOI: https://doi.org/10.1016/S0010-4655(84)82915-X
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bibdate: Sat Feb 25 10:56:49 MST 2012
bibtimestamp: 2012.02.25 10:56:49 MST
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bibtype: article
filename: elefunt.bib
label: Piessens:1984:CBF
author: Robert Piessens
title: The computation of Bessel functions on a small computer
journal: j-COMPUT-MATH-APPL
volume: 10
number: 2
pages: 161--166
year: 1984
CODEN: CMAPDK
ISSN: 0898-1221 (print), 1873-7668 (electronic) OR 08981221 (print), 18737668 (electronic)
ISSNL: 0898-1221 OR 08981221
bibdate: Wed Mar 1 19:00:50 MST 2017
bibtimestamp: 2017.03.01 19:00:50 MST
URL: http://www.sciencedirect.com/science/article/pii/0898122184900452
fjournal: Computers and Mathematics with Applications
acknowledgement: ack-nhfb
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bibtype: article
filename: elefunt.bib
label: Piessens:1984:CSA
author: R. Piessens
title: Chebyshev series approximations for the zeros of the Bessel functions
journal: j-J-COMPUT-PHYS
volume: 53
number: 1
pages: 188--192
month: jan
monthnumber: 1
year: 1984
CODEN: JCTPAH
DOI: https://doi.org/10.1016/0021-9991(84)90060-3
ISSN: 0021-9991 (print), 1090-2716 (electronic) OR 00219991 (print), 10902716 (electronic)
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bibdate: Sun Jan 1 15:59:18 MST 2012
bibtimestamp: 2012.01.01 15:59:18 MST
URL: http://www.sciencedirect.com/science/article/pii/0021999184900603
fjournal: Journal of Computational Physics
acknowledgement: ack-nhfb
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rawtitle: {Chebyshev} series approximations for the zeros of the {Bessel} functions
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bibtype: article
filename: elefunt.bib
label: Piessens:1984:SEF
author: R. Piessens
title: A Series Expansion for the First Positive Zero of the Bessel Functions
journal: j-MATH-COMPUT
volume: 42
number: 165
pages: 195--197
month: jan
monthnumber: 1
year: 1984
CODEN: MCMPAF
ISSN: 0025-5718 (print), 1088-6842 (electronic) OR 00255718 (print), 10886842 (electronic)
ISSNL: 0025-5718 OR 00255718
MRclass: 33A40 (65D20)
MRnumber: 84m:33014
MRreviewer: M. E. Muldoon
bibdate: Tue Oct 13 08:06:19 MDT 1998
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; JSTOR database; Theory/Comp.Alg.1.bib
bibtimestamp: 1998.10.13 08:06:19 MDT
fjournal: Mathematics of Computation
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acknowledgement: ack-nhfb
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bibtype: article
filename: elefunt.bib
label: Schmidt:1984:TAI
author: J. W. Schmidt
title: Two-Sided Approximations of Inverses, Square Roots and Cholesky Factors
journal: Comput. Math., Banach Center Publ.
volume: 13
pages: 483--497
year: 1984
bibdate: Fri Jan 12 11:37:56 1996
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
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  volume =       "13",
  pages =        "483--497",
  year =         "1984",
  bibdate =      "Fri Jan 12 11:37:56 1996",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-jr,
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bibtype: article
filename: elefunt.bib
label: Seaton:1984:CFA
author: M. J. Seaton
title: Coulomb functions analytic in the energy
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number: 1--3
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year: 1984
CODEN: CPHCBZ
DOI: https://doi.org/10.1016/S0010-4655(84)82899-4
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bibdate: Sat Feb 25 10:56:49 MST 2012
bibtimestamp: 2012.02.25 10:56:49 MST
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bibtype: article
filename: elefunt.bib
label: Takemasa:1984:CFC
author: T. Takemasa and T. Tamura and H. H. Wolter
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number: 1--3
pages: C-562
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CODEN: CPHCBZ
DOI: https://doi.org/10.1016/S0010-4655(84)82737-X
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bibdate: Sat Feb 25 10:56:33 MST 2012
bibtimestamp: 2012.02.25 10:56:33 MST
URL: http://www.sciencedirect.com/science/article/pii/S001046558482737X
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acknowledgement: ack-nhfb
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bibtype: article
filename: elefunt.bib
label: Talman:1984:LSC
author: James D. Talman
title: LSFBTR: a subroutine for calculating spherical Bessel transforms
journal: j-COMP-PHYS-COMM
volume: 35
number: 1--3
pages: C-903
year: 1984
CODEN: CPHCBZ
DOI: https://doi.org/10.1016/S0010-4655(84)83002-7
ISSN: 0010-4655 (print), 1879-2944 (electronic) OR 00104655 (print), 18792944 (electronic)
ISSNL: 0010-4655 OR 00104655
bibdate: Sat Feb 25 10:56:58 MST 2012
bibtimestamp: 2012.02.25 10:56:58 MST
URL: http://www.sciencedirect.com/science/article/pii/S0010465584830027
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acknowledgement: ack-nhfb
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bibtype: article
filename: elefunt.bib
label: Tamura:1984:CFC
author: Taro Tamura and Frank Rybicki
title: Coulomb functions for complex energies
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volume: 35
number: 1--3
pages: C-5
year: 1984
CODEN: CPHCBZ
DOI: https://doi.org/10.1016/S0010-4655(84)82276-6
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bibdate: Sat Feb 25 10:55:58 MST 2012
bibtimestamp: 2012.02.25 10:55:58 MST
URL: http://www.sciencedirect.com/science/article/pii/S0010465584822766
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bibtype: article
filename: elefunt.bib
label: Trojan:1984:LBF
author: George M. Trojan
title: Lower Bounds and Fast Algorithms for Sequence Acceleration
journal: j-J-ACM
volume: 31
number: 2
pages: 329--335
month: apr
monthnumber: 4
year: 1984
CODEN: JACOAH
ISSN: 0004-5411 (print), 1557-735X (electronic) OR 00045411 (print), 1557735X (electronic)
ISSNL: 0004-5411 OR 00045411
bibdate: Wed Jan 15 18:12:53 MST 1997
bibsource: Compendex database; https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 1997.01.15 18:12:53 MST
fjournal: Journal of the ACM
acknowledgement: ack-nhfb
affiliationaddress: Univ of Western Ontario, Dep of Physics, London, Ont, Can
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journalURL: https://dl.acm.org/loi/jacm
rawauthor: George M. Trojan
rawtitle: Lower Bounds and Fast Algorithms for Sequence Acceleration
abstract:
Tight upper and lower bounds are obtained for sequence accelerating. The lower bounds follow from a powerful asymptotic adversary principle. Algorithms are presented and shown to be almost optimal.

keywords:
Algorithms; computer programming; convergence acceleration; lower bounds; sequence acceleration; upper bounds

rawabstract:
Tight upper and lower bounds are obtained for sequence accelerating. The lower bounds follow from a powerful asymptotic adversary principle. Algorithms are presented and shown to be almost optimal.

entry:
@Article{Trojan:1984:LBF,
  author =       "George M. Trojan",
  title =        "Lower Bounds and Fast Algorithms for Sequence
                 Acceleration",
  journal =      j-J-ACM,
  volume =       "31",
  number =       "2",
  pages =        "329--335",
  month =        apr,
  year =         "1984",
  CODEN =        "JACOAH",
  ISSN =         "0004-5411 (print), 1557-735X (electronic)",
  ISSN-L =       "0004-5411",
  bibdate =      "Wed Jan 15 18:12:53 MST 1997",
  bibsource =    "Compendex database;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  abstract =     "Tight upper and lower bounds are obtained for sequence
                 accelerating. The lower bounds follow from a powerful
                 asymptotic adversary principle. Algorithms are
                 presented and shown to be almost optimal.",
  acknowledgement = ack-nhfb,
  affiliationaddress = "Univ of Western Ontario, Dep of Physics, London,
                 Ont, Can",
  ajournal =     "J. Assoc. Comput. Mach.",
  classification = "723",
  fjournal =     "Journal of the ACM",
  journal-URL =  "https://dl.acm.org/loi/jacm",
  keywords =     "Algorithms; computer programming; convergence
                 acceleration; lower bounds; sequence acceleration;
                 upper bounds",
}


bibtype: book
filename: elefunt.bib
label: vanderLaan:1984:CSF
author: C. G. van der Laan and N. M. Temme
volume: 10
publisher: Centre for Mathematics and Computer Science
address: Amsterdam, The Netherlands
pages: iv + 231
year: 1984
ISBN: 90-6196-277-3 OR 9061962773
ISBN13: 978-90-6196-277-9 OR 9789061962779
LCCN: QA1 M4591 no. 10
bibdate: Sat Oct 30 18:43:03 2010
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2010.10.30 18:43:03 ???
series: CWI tract / Centrum voor Wiskunde en Informatica
acknowledgement: ack-nhfb
rawauthor: C. G. van der Laan and N. M. Temme
title:
Calculation of special functions: the gamma function, the exponential integrals and error-like functions

rawtitle:
Calculation of special functions: the gamma function, the exponential integrals and error-like functions

entry:
@Book{vanderLaan:1984:CSF,
  author =       "C. G. van der Laan and N. M. Temme",
  title =        "Calculation of special functions: the gamma function,
                 the exponential integrals and error-like functions",
  volume =       "10",
  publisher =    "Centre for Mathematics and Computer Science",
  address =      "Amsterdam, The Netherlands",
  pages =        "iv + 231",
  year =         "1984",
  ISBN =         "90-6196-277-3",
  ISBN-13 =      "978-90-6196-277-9",
  LCCN =         "QA1 M4591 no. 10",
  bibdate =      "Sat Oct 30 18:43:03 2010",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  series =       "CWI tract / Centrum voor Wiskunde en Informatica",
  acknowledgement = ack-nhfb,
}


bibtype: article
filename: elefunt.bib
label: vonGudenberg:1984:BMG
author: J. Wolff von Gudenberg
journal: j-ELEK-RECHENANLAGEN
volume: 26
number: 5
pages: 230--238
month: oct
monthnumber: 10
year: 1984
CODEN: ELRAA4
ISSN: 0013-5720 OR 00135720
bibdate: Sun Oct 25 10:29:27 1998
bibsource: garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt; https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 1998.10.25 10:29:27 ???
fjournal: Elektronische Rechenanlagen
acknowledgement: ack-nj
rawauthor: J. Wolff {von Gudenberg}
title:
Berechnung maximal genauer Standardfunktionen mit einfacher Mantissenlange toenglish Computation of Maximally Accurate Elementary Functions Using Simple Mantissa Length endtoenglish 

rawtitle:
{Berechnung maximal genauer Standardfunktionen mit einfacher Mantissenl{\"a}nge} \toenglish {Computation of Maximally Accurate Elementary Functions Using Simple Mantissa Length} \endtoenglish

entry:
@Article{vonGudenberg:1984:BMG,
  author =       "J. Wolff {von Gudenberg}",
  title =        "{Berechnung maximal genauer Standardfunktionen mit
                 einfacher Mantissenl{\"a}nge} \toenglish {Computation
                 of Maximally Accurate Elementary Functions Using Simple
                 Mantissa Length} \endtoenglish",
  journal =      j-ELEK-RECHENANLAGEN,
  volume =       "26",
  number =       "5",
  pages =        "230--238",
  month =        oct,
  year =         "1984",
  CODEN =        "ELRAA4",
  ISSN =         "0013-5720",
  bibdate =      "Sun Oct 25 10:29:27 1998",
  bibsource =    "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nj,
  fjournal =     "Elektronische Rechenanlagen",
}


bibtype: article
filename: elefunt.bib
label: Walmsley:1984:EEM
author: John L. Walmsley
journal: j-J-COMPUT-PHYS
volume: 56
number: 2
pages: 349--355
month: nov
monthnumber: 11
year: 1984
CODEN: JCTPAH
DOI: https://doi.org/10.1016/0021-9991(84)90100-1
ISSN: 0021-9991 (print), 1090-2716 (electronic) OR 00219991 (print), 10902716 (electronic)
ISSNL: 0021-9991 OR 00219991
bibdate: Sun Jan 1 15:59:21 MST 2012
bibtimestamp: 2012.01.01 15:59:21 MST
URL: http://www.sciencedirect.com/science/article/pii/0021999184901001
fjournal: Journal of Computational Physics
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00219991/
rawauthor: John L. Walmsley
title:
On the efficient evaluation of modified Bessel functions of zeroth and first orders for arguments of the form $ x exp (i pi / 4) $

rawtitle:
On the efficient evaluation of modified {Bessel} functions of zeroth and first orders for arguments of the form $ x \exp (i \pi / 4) $

entry:
@Article{Walmsley:1984:EEM,
  author =       "John L. Walmsley",
  title =        "On the efficient evaluation of modified {Bessel}
                 functions of zeroth and first orders for arguments of
                 the form $ x \exp (i \pi / 4) $",
  journal =      j-J-COMPUT-PHYS,
  volume =       "56",
  number =       "2",
  pages =        "349--355",
  month =        nov,
  year =         "1984",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1016/0021-9991(84)90100-1",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 15:59:21 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999184901001",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991/",
}


bibtype: book
filename: elefunt.bib
label: Wawrzynczyk:1984:GRS
author: Antoni Wawrzynczyk and Aleksander Strasburger
title: Group representations and special functions
volume: 8
publisher: pub-REIDEL
address: pub-REIDEL:adr
pages: xvi + 688
year: 1984
ISBN: 90-277-1269-7 OR 9027712697
ISBN13: 978-90-277-1269-1 OR 9789027712691
LCCN: QA171 .W3513 1984; QA1 M4281 v. 8
bibdate: Sat Oct 30 18:29:38 MDT 2010
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; z3950.loc.gov:7090/Voyager
bibtimestamp: 2010.10.30 18:29:38 MDT
series: Mathematics and its applications. East European series
remark: Translation of Polish title Wspopm czesna teoria funkcji specjalnych.
subject: Representations of groups; Functions, Special
acknowledgement: ack-nhfb
rawauthor: Antoni Wawrzy{\'n}czyk and Aleksander Strasburger
rawtitle: Group representations and special functions
entry:
@Book{Wawrzynczyk:1984:GRS,
  author =       "Antoni Wawrzy{\'n}czyk and Aleksander Strasburger",
  title =        "Group representations and special functions",
  volume =       "8",
  publisher =    pub-REIDEL,
  address =      pub-REIDEL:adr,
  pages =        "xvi + 688",
  year =         "1984",
  ISBN =         "90-277-1269-7",
  ISBN-13 =      "978-90-277-1269-1",
  LCCN =         "QA171 .W3513 1984; QA1 M4281 v. 8",
  bibdate =      "Sat Oct 30 18:29:38 MDT 2010",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Mathematics and its applications. East European
                 series",
  acknowledgement = ack-nhfb,
  remark =       "Translation of Polish title Wsp{\'o}\pm{}czesna teoria
                 funkcji specjalnych.",
  subject =      "Representations of groups; Functions, Special",
}


bibtype: article
filename: elefunt.bib
label: Wrigge:1984:NMG
author: Staffan Wrigge
title: A note on the moment generating function for the reciprocal gamma distribution
journal: j-MATH-COMPUT
volume: 42
number: 166
pages: 617--621
month: apr
monthnumber: 4
year: 1984
CODEN: MCMPAF
ISSN: 0025-5718 (print), 1088-6842 (electronic) OR 00255718 (print), 10886842 (electronic)
ISSNL: 0025-5718 OR 00255718
MRclass: 65D20 (60E10 62E15 65U05)
MRnumber: 86f:65042b
bibdate: Tue Oct 13 08:06:19 MDT 1998
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; JSTOR database
bibtimestamp: 1998.10.13 08:06:19 MDT
fjournal: Mathematics of Computation
keywords: Euler--Maclaurin expansion; moment generating function; polynomials; reciprocal gamma distribution
acknowledgement: ack-nhfb
classcodes: B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)
corpsource: Nat. Defence Res. Inst., Stockholm, Sweden
journalURL: http://www.ams.org/mcom/
treatment: T Theoretical or Mathematical
rawauthor: Staffan Wrigge
rawtitle: A note on the moment generating function for the reciprocal gamma distribution
entry:
@Article{Wrigge:1984:NMG,
  author =       "Staffan Wrigge",
  title =        "A note on the moment generating function for the
                 reciprocal gamma distribution",
  journal =      j-MATH-COMPUT,
  volume =       "42",
  number =       "166",
  pages =        "617--621",
  month =        apr,
  year =         "1984",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65D20 (60E10 62E15 65U05)",
  MRnumber =     "86f:65042b",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290F (Interpolation and function approximation);
                 C4130 (Interpolation and function approximation)",
  corpsource =   "Nat. Defence Res. Inst., Stockholm, Sweden",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "Euler--Maclaurin expansion; moment generating
                 function; polynomials; reciprocal gamma distribution",
  treatment =    "T Theoretical or Mathematical",
}


bibtype: article
filename: elefunt.bib
label: Akrivis:1985:ENC
author: G. Akrivis
title: The error norm of certain Gaussian quadrature formulae
journal: j-MATH-COMPUT
volume: 45
number: 172
pages: 513--519
month: oct
monthnumber: 10
year: 1985
CODEN: MCMPAF
ISSN: 0025-5718 (print), 1088-6842 (electronic) OR 00255718 (print), 10886842 (electronic)
ISSNL: 0025-5718 OR 00255718
MRclass: 65D32
MRnumber: 87a:65051
bibdate: Tue Oct 13 08:06:19 MDT 1998
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; JSTOR database
bibtimestamp: 1998.10.13 08:06:19 MDT
fjournal: Mathematics of Computation
acknowledgement: ack-nhfb
corpsource: Math. Inst., Munchen Univ., West Germany
journalURL: http://www.ams.org/mcom/
treatment: T Theoretical or Mathematical
rawauthor: G. Akrivis
rawtitle: The error norm of certain {Gaussian} quadrature formulae
keywords:
error analysis; error functional; error norm; function approximation; Gaussian quadrature formulae; integration; weight functions; wide class

classcodes:
B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)

entry:
@Article{Akrivis:1985:ENC,
  author =       "G. Akrivis",
  title =        "The error norm of certain {Gaussian} quadrature
                 formulae",
  journal =      j-MATH-COMPUT,
  volume =       "45",
  number =       "172",
  pages =        "513--519",
  month =        oct,
  year =         "1985",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65D32",
  MRnumber =     "87a:65051",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290B (Error analysis in numerical methods); B0290F
                 (Interpolation and function approximation); C4110
                 (Error analysis in numerical methods); C4130
                 (Interpolation and function approximation)",
  corpsource =   "Math. Inst., Munchen Univ., West Germany",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "error analysis; error functional; error norm; function
                 approximation; Gaussian quadrature formulae;
                 integration; weight functions; wide class",
  treatment =    "T Theoretical or Mathematical",
}


bibtype: book
filename: elefunt.bib
label: Arfken:1985:MMP
author: George B. (George Brown) Arfken
title: Mathematical methods for physicists
publisher: pub-ACADEMIC
address: pub-ACADEMIC:adr
edition: Third
pages: xxii + 985
year: 1985
ISBN: 0-12-059820-5 OR 0120598205
ISBN13: 978-0-12-059820-5 OR 9780120598205
LCCN: QA37.2 .A74 1985
bibdate: Wed Mar 15 06:50:49 MDT 2017
bibsource: fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2017.03.15 06:50:49 MDT
URL: http://www.sciencedirect.com/science/book/9780120598205
acknowledgement: ack-nhfb
authordates: 1922--
rawauthor: George B. (George Brown) Arfken
rawtitle: Mathematical methods for physicists
abstract:
Mathematical Methods for Physicists, Third Edition provides an advanced undergraduate and beginning graduate study in physical science, focusing on the mathematics of theoretical physics. This edition includes sections on the non-Cartesian tensors, dispersion theory, first-order differential equations, numerical application of Chebyshev polynomials, the fast Fourier transform, and transfer functions. Many of the physical examples provided in this book, which are used to illustrate the applications of mathematics, are taken from the fields of electromagnetic theory and quantum mechanics. The Hermitian operators, Hilbert space, and concept of completeness are also deliberated. This book is beneficial to students studying graduate level physics, particularly theoretical physics.

subject:
Mathematics; Mathematical physics; Mathematiques; Physique mathematique; Mathematical physics.; Mathematics.; Wiskundige methoden.; Reactoren.; Groepentheorie.; Kwantummechanica.; Elektromechanica.; Vectoren (wiskunde); Elektrodynamica.; Mathematiques.; Physique mathematique.; Mathematiques de l'ingenieur.

TOC:
Vector Analysis Rotation of the Coordinate Axes Scalar or Dot Product Vector or Cross Product Triple Scalar Product, Triple Vector Product Gradient, [down triangle, open] Divergence, [down triangle, open] Curl, [down triangle, open] x Successive Applications of [down triangle, open] Vector Integration Gauss's Theorem Stokes's Theorem Potential Theory Gauss's Law, Poisson's Equation Dirac Delta Function Helmholtz's Theorem Curved Coordinates, Tensors Orthogonal Coordinates Differential Vector Operators Special Coordinate Systems: Introduction Circular Cylindrical Coordinates Spherical Polar Coordinates Tensor Analysis Contraction, Direct Product Quotient Rule Pseudotensors, Dual Tensors Non-Cartesian Tensors Tensor Derivative Operators Determinants and Matrices Determinants Matrices Orthogonal Matrices Hermitian Matrices, Unitary Matrices Diagonalization of Matrices Normal Matrices Group Theory Introduction to Group Theory Generators of Continuous Groups Orbital Angular Momentum Angular Momentum Coupling Homogeneous Lorentz Group Lorentz Covariance of Maxwell's Equations Discrete Groups Infinite Series Convergence Tests Alternating Series Algebra of Series Series of Functions Taylor's Expansion Power Series Elliptic Integrals Bernoulli Numbers, Euler-Maclaurin Formula Asymptotic Series Infinite Products Functions of a Complex Variable I Complex Algebra

rawabstract:
Mathematical Methods for Physicists, Third Edition provides an advanced undergraduate and beginning graduate study in physical science, focusing on the mathematics of theoretical physics. This edition includes sections on the non-Cartesian tensors, dispersion theory, first-order differential equations, numerical application of Chebyshev polynomials, the fast Fourier transform, and transfer functions. Many of the physical examples provided in this book, which are used to illustrate the applications of mathematics, are taken from the fields of electromagnetic theory and quantum mechanics. The Hermitian operators, Hilbert space, and concept of completeness are also deliberated. This book is beneficial to students studying graduate level physics, particularly theoretical physics.

rawTOC:
Vector Analysis \\ Rotation of the Coordinate Axes \\ Scalar or Dot Product \\ Vector or Cross Product \\ Triple Scalar Product, Triple Vector Product \\ Gradient, [down triangle, open] \\ Divergence, [down triangle, open] \\ Curl, [down triangle, open] x \\ Successive Applications of [down triangle, open] \\ Vector Integration \\ Gauss's Theorem \\ Stokes's Theorem \\ Potential Theory \\ Gauss's Law, Poisson's Equation \\ Dirac Delta Function \\ Helmholtz's Theorem \\ Curved Coordinates, Tensors \\ Orthogonal Coordinates \\ Differential Vector Operators \\ Special Coordinate Systems: Introduction \\ Circular Cylindrical Coordinates \\ Spherical Polar Coordinates \\ Tensor Analysis \\ Contraction, Direct Product \\ Quotient Rule \\ Pseudotensors, Dual Tensors \\ Non-Cartesian Tensors \\ Tensor Derivative Operators \\ Determinants and Matrices \\ Determinants \\ Matrices \\ Orthogonal Matrices \\ Hermitian Matrices, Unitary Matrices \\ Diagonalization of Matrices \\ Normal Matrices \\ Group Theory \\ Introduction to Group Theory \\ Generators of Continuous Groups \\ Orbital Angular Momentum \\ Angular Momentum Coupling \\ Homogeneous Lorentz Group \\ Lorentz Covariance of Maxwell's Equations \\ Discrete Groups \\ Infinite Series \\ Convergence Tests \\ Alternating Series \\ Algebra of Series \\ Series of Functions \\ Taylor's Expansion \\ Power Series \\ Elliptic Integrals \\ Bernoulli Numbers, Euler-Maclaurin Formula \\ Asymptotic Series \\ Infinite Products \\ Functions of a Complex Variable I \\ Complex Algebra

entry:
@Book{Arfken:1985:MMP,
  author =       "George B. (George Brown) Arfken",
  title =        "Mathematical methods for physicists",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  edition =      "Third",
  pages =        "xxii + 985",
  year =         "1985",
  ISBN =         "0-12-059820-5",
  ISBN-13 =      "978-0-12-059820-5",
  LCCN =         "QA37.2 .A74 1985",
  bibdate =      "Wed Mar 15 06:50:49 MDT 2017",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.sciencedirect.com/science/book/9780120598205",
  abstract =     "Mathematical Methods for Physicists, Third Edition
                 provides an advanced undergraduate and beginning
                 graduate study in physical science, focusing on the
                 mathematics of theoretical physics. This edition
                 includes sections on the non-Cartesian tensors,
                 dispersion theory, first-order differential equations,
                 numerical application of Chebyshev polynomials, the
                 fast Fourier transform, and transfer functions. Many of
                 the physical examples provided in this book, which are
                 used to illustrate the applications of mathematics, are
                 taken from the fields of electromagnetic theory and
                 quantum mechanics. The Hermitian operators, Hilbert
                 space, and concept of completeness are also
                 deliberated. This book is beneficial to students
                 studying graduate level physics, particularly
                 theoretical physics.",
  acknowledgement = ack-nhfb,
  author-dates = "1922--",
  subject =      "Mathematics; Mathematical physics; Math{\'e}matiques;
                 Physique math{\'e}matique; Mathematical physics.;
                 Mathematics.; Wiskundige methoden.; Reactoren.;
                 Groepentheorie.; Kwantummechanica.; Elektromechanica.;
                 Vectoren (wiskunde); Elektrodynamica.;
                 Math{\'e}matiques.; Physique math{\'e}matique.;
                 Math{\'e}matiques de l'ing{\'e}nieur.",
  tableofcontents = "Vector Analysis \\
                 Rotation of the Coordinate Axes \\
                 Scalar or Dot Product \\
                 Vector or Cross Product \\
                 Triple Scalar Product, Triple Vector Product \\
                 Gradient, [down triangle, open] \\
                 Divergence, [down triangle, open] \\
                 Curl, [down triangle, open] x \\
                 Successive Applications of [down triangle, open] \\
                 Vector Integration \\
                 Gauss's Theorem \\
                 Stokes's Theorem \\
                 Potential Theory \\
                 Gauss's Law, Poisson's Equation \\
                 Dirac Delta Function \\
                 Helmholtz's Theorem \\
                 Curved Coordinates, Tensors \\
                 Orthogonal Coordinates \\
                 Differential Vector Operators \\
                 Special Coordinate Systems: Introduction \\
                 Circular Cylindrical Coordinates \\
                 Spherical Polar Coordinates \\
                 Tensor Analysis \\
                 Contraction, Direct Product \\
                 Quotient Rule \\
                 Pseudotensors, Dual Tensors \\
                 Non-Cartesian Tensors \\
                 Tensor Derivative Operators \\
                 Determinants and Matrices \\
                 Determinants \\
                 Matrices \\
                 Orthogonal Matrices \\
                 Hermitian Matrices, Unitary Matrices \\
                 Diagonalization of Matrices \\
                 Normal Matrices \\
                 Group Theory \\
                 Introduction to Group Theory \\
                 Generators of Continuous Groups \\
                 Orbital Angular Momentum \\
                 Angular Momentum Coupling \\
                 Homogeneous Lorentz Group \\
                 Lorentz Covariance of Maxwell's Equations \\
                 Discrete Groups \\
                 Infinite Series \\
                 Convergence Tests \\
                 Alternating Series \\
                 Algebra of Series \\
                 Series of Functions \\
                 Taylor's Expansion \\
                 Power Series \\
                 Elliptic Integrals \\
                 Bernoulli Numbers, Euler-Maclaurin Formula \\
                 Asymptotic Series \\
                 Infinite Products \\
                 Functions of a Complex Variable I \\
                 Complex Algebra",
}


bibtype: article
filename: elefunt.bib
label: Bank:1985:SEM
author: Randolph E. Bank and Craig C. Douglas
title: Sharp estimates for multigrid rates of convergence with general smoothing and acceleration
journal: j-SIAM-J-NUMER-ANAL
volume: 22
number: 4
pages: 617--633
month: aug
monthnumber: 8
year: 1985
CODEN: SJNAAM
ISSN: 0036-1429 (print), 1095-7170 (electronic) OR 00361429 (print), 10957170 (electronic)
ISSNL: 0036-1429 OR 00361429
MRclass: 65F10 (65N20)
MRnumber: 86j:65037
MRreviewer: L. W. Ehrlich
bibdate: Fri Oct 16 06:57:22 MDT 1998
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; JSTOR database
bibtimestamp: 1998.10.16 06:57:22 MDT
fjournal: SIAM Journal on Numerical Analysis
keywords: convergence acceleration
acknowledgement: ack-nhfb
journalURL: http://epubs.siam.org/sinum
rawauthor: Randolph E. Bank and Craig C. Douglas
rawtitle: Sharp estimates for multigrid rates of convergence with general smoothing and acceleration
entry:
@Article{Bank:1985:SEM,
  author =       "Randolph E. Bank and Craig C. Douglas",
  title =        "Sharp estimates for multigrid rates of convergence
                 with general smoothing and acceleration",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "22",
  number =       "4",
  pages =        "617--633",
  month =        aug,
  year =         "1985",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65F10 (65N20)",
  MRnumber =     "86j:65037",
  MRreviewer =   "L. W. Ehrlich",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Numerical Analysis",
  journal-URL =  "http://epubs.siam.org/sinum",
  keywords =     "convergence acceleration",
}


bibtype: inproceedings
filename: elefunt.bib
label: Bannur:1985:VIS
author: J. Bannur and A. Varma
title: The VLSI Implementation of a Square Root Algorithm
crossref: Hwang:1985:PSC
pages: 159--165
year: 1985
bibdate: Fri Nov 16 08:47:34 2007
bibtimestamp: 2007.11.16 08:47:34 ???
URL: http://www.acsel-lab.com/arithmetic/arith7/papers/ARITH7_Bannur_Varma.pdf
keywords: ARITH-7
acknowledgement: ack-nhfb
rawauthor: J. Bannur and A. Varma
rawtitle: The {VLSI} Implementation of a Square Root Algorithm
abstract:
VLSI implementation of a square root algorithm is studied. Two possible implementations of the basic nonrestoring algorithm are presented --- the second is more area-efficient and modular than the first. The implementations are simple and easy to control, but, at the same time, are more area-time efficient than many existing designs. A hardware algorithm suited to microprogram implementation is also given. Extension of the algorithms to achieve $ 1 / 2 $-bit precision is discussed.

rawabstract:
VLSI implementation of a square root algorithm is studied. Two possible implementations of the basic nonrestoring algorithm are presented --- the second is more area-efficient and modular than the first. The implementations are simple and easy to control, but, at the same time, are more area-time efficient than many existing designs. A hardware algorithm suited to microprogram implementation is also given. Extension of the algorithms to achieve $ 1 / 2 $-bit precision is discussed.

entry:
@InProceedings{Bannur:1985:VIS,
  author =       "J. Bannur and A. Varma",
  title =        "The {VLSI} Implementation of a Square Root Algorithm",
  crossref =     "Hwang:1985:PSC",
  pages =        "159--165",
  year =         "1985",
  bibdate =      "Fri Nov 16 08:47:34 2007",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  URL =          "http://www.acsel-lab.com/arithmetic/arith7/papers/ARITH7_Bannur_Varma.pdf",
  abstract =     "VLSI implementation of a square root algorithm is
                 studied. Two possible implementations of the basic
                 nonrestoring algorithm are presented --- the second is
                 more area-efficient and modular than the first. The
                 implementations are simple and easy to control, but, at
                 the same time, are more area-time efficient than many
                 existing designs. A hardware algorithm suited to
                 microprogram implementation is also given. Extension of
                 the algorithms to achieve $ 1 / 2 $-bit precision is
                 discussed.",
  acknowledgement = ack-nhfb,
  keywords =     "ARITH-7",
}


bibtype: article
filename: elefunt.bib
label: Borodin:1985:DND
author: Allan Borodin and Ronald Fagin and John E. Hopcroft and Martin Tompa
title: Decreasing the Nesting Depth of Expressions Involving Square Roots
journal: j-J-SYMBOLIC-COMP
volume: 1
number: 2
pages: 169--188
month: jun
monthnumber: 6
year: 1985
CODEN: JSYCEH
ISSN: 0747-7171 (print), 1095-855X (electronic) OR 07477171 (print), 1095855X (electronic)
ISSNL: 0747-7171 OR 07477171
MRclass: 68Q40 (12F05)
MRnumber: 87a:68087
bibdate: Sat May 10 15:54:09 MDT 1997
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 1997.05.10 15:54:09 MDT
fjournal: Journal of Symbolic Computation
keywords: Simplification
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/07477171
rawauthor: Allan Borodin and Ronald Fagin and John E. Hopcroft and Martin Tompa
rawtitle: Decreasing the Nesting Depth of Expressions Involving Square Roots
entry:
@Article{Borodin:1985:DND,
  author =       "Allan Borodin and Ronald Fagin and John E. Hopcroft
                 and Martin Tompa",
  title =        "Decreasing the Nesting Depth of Expressions Involving
                 Square Roots",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "1",
  number =       "2",
  pages =        "169--188",
  month =        jun,
  year =         "1985",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  MRclass =      "68Q40 (12F05)",
  MRnumber =     "87a:68087",
  bibdate =      "Sat May 10 15:54:09 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "Simplification",
}


bibtype: article
filename: elefunt.bib
label: Brezinski:1985:CAM
author: Claude Brezinski
title: Convergence acceleration methods: the past decade
journal: j-J-COMPUT-APPL-MATH
volume: 12--13
pages: 19--36
month: may
monthnumber: 5
year: 1985
CODEN: JCAMDI
DOI: https://doi.org/10.1016/0377-0427(85)90005-6
ISSN: 0377-0427 (print), 1879-1778 (electronic) OR 03770427 (print), 18791778 (electronic)
ISSNL: 0377-0427 OR 03770427
MRclass: 65Bxx (65J05)
MRnumber: 793942 (86f:65019)
bibdate: Thu Dec 01 10:11:33 2011
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2011.12.01 10:11:33 ???
fjournal: Journal of Computational and Applied Mathematics
keywords: convergence acceleration
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/03770427
rawauthor: Claude Brezinski
rawtitle: Convergence acceleration methods: the past decade
remark:
Proceedings of the international conference on computational and applied mathematics (Leuven, 1984).

entry:
@Article{Brezinski:1985:CAM,
  author =       "Claude Brezinski",
  title =        "Convergence acceleration methods: the past decade",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "12--13",
  number =       "??",
  pages =        "19--36",
  month =        may,
  year =         "1985",
  CODEN =        "JCAMDI",
  DOI =          "https://doi.org/10.1016/0377-0427(85)90005-6",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  MRclass =      "65Bxx (65J05)",
  MRnumber =     "793942 (86f:65019)",
  bibdate =      "Thu Dec 01 10:11:33 2011",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
  keywords =     "convergence acceleration",
  remark =       "Proceedings of the international conference on
                 computational and applied mathematics (Leuven, 1984).",
}


bibtype: article
filename: elefunt.bib
label: Carlson:1985:AEF
author: B. C. Carlson and John L. Gustafson
title: Asymptotic expansion of the first elliptic integral
journal: j-SIAM-J-MATH-ANA
volume: 16
number: 5
pages: 1072--1092
month: sep
monthnumber: 9
year: 1985
CODEN: SJMAAH
ISSN: 0036-1410 (print), 1095-7154 (electronic) OR 00361410 (print), 10957154 (electronic)
ISSNL: 0036-1410 OR 00361410
MRclass: 33A25 (41A60)
MRnumber: 87d:33002
MRreviewer: Kusum Soni
bibdate: Sat Dec 5 18:14:13 MST 1998
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 1998.12.05 18:14:13 MST
fjournal: SIAM Journal on Mathematical Analysis
acknowledgement: ack-nhfb
journalURL: http://epubs.siam.org/sima
rawauthor: B. C. Carlson and John L. Gustafson
rawtitle: Asymptotic expansion of the first elliptic integral
entry:
@Article{Carlson:1985:AEF,
  author =       "B. C. Carlson and John L. Gustafson",
  title =        "Asymptotic expansion of the first elliptic integral",
  journal =      j-SIAM-J-MATH-ANA,
  volume =       "16",
  number =       "5",
  pages =        "1072--1092",
  month =        sep,
  year =         "1985",
  CODEN =        "SJMAAH",
  ISSN =         "0036-1410 (print), 1095-7154 (electronic)",
  ISSN-L =       "0036-1410",
  MRclass =      "33A25 (41A60)",
  MRnumber =     "87d:33002",
  MRreviewer =   "Kusum Soni",
  bibdate =      "Sat Dec 5 18:14:13 MST 1998",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Mathematical Analysis",
  journal-URL =  "http://epubs.siam.org/sima",
}


bibtype: article
filename: elefunt.bib
label: Cathey:1985:ISR
author: James Cathey
title: 68000 Integer square root routine in 16BST
journal: j-DDJ
volume: 10
number: 5
pages: 118--??
month: may
monthnumber: 5
year: 1985
CODEN: DDJOEB
ISSN: 1044-789X OR 1044789X
bibdate: Mon Sep 2 09:09:39 MDT 1996
bibtimestamp: 1996.09.02 09:09:39 MDT
fjournal: Dr. Dobb's Journal of Software Tools
acknowledgement: ack-nhfb
rawauthor: James Cathey
rawtitle: 68000 Integer square root routine in {16BST}
bibsource:
http://www.ddj.com/index/author/index.htm; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib

entry:
@Article{Cathey:1985:ISR,
  author =       "James Cathey",
  title =        "68000 Integer square root routine in {16BST}",
  journal =      j-DDJ,
  volume =       "10",
  number =       "5",
  pages =        "118--??",
  month =        may,
  year =         "1985",
  CODEN =        "DDJOEB",
  ISSN =         "1044-789X",
  bibdate =      "Mon Sep 2 09:09:39 MDT 1996",
  bibsource =    "http://www.ddj.com/index/author/index.htm;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Dr. Dobb's Journal of Software Tools",
}


bibtype: inproceedings
filename: elefunt.bib
label: Conover:1985:AHS
author: B. Conover and D. L. Gustafson
title: An Algorithm for High Speed Square Roots
crossref: IEEE:1985:ERC
pages: 19--21
year: 1985
bibdate: Fri Jun 11 18:04:41 1999
bibtimestamp: 1999.06.11 18:04:41 ???
acknowledgement: ack-nj
rawauthor: B. Conover and D. L. Gustafson
rawtitle: An Algorithm for High Speed Square Roots
entry:
@InProceedings{Conover:1985:AHS,
  author =       "B. Conover and D. L. Gustafson",
  title =        "An Algorithm for High Speed Square Roots",
  crossref =     "IEEE:1985:ERC",
  pages =        "19--21",
  year =         "1985",
  bibdate =      "Fri Jun 11 18:04:41 1999",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nj,
}


bibtype: article
filename: elefunt.bib
label: Frenzen:1985:NAE
author: C. L. Frenzen and R. Wong
title: A note on asymptotic evaluation of some Hankel transforms
journal: j-MATH-COMPUT
volume: 45
number: 172
pages: 537--548
month: oct
monthnumber: 10
year: 1985
CODEN: MCMPAF
ISSN: 0025-5718 (print), 1088-6842 (electronic) OR 00255718 (print), 10886842 (electronic)
ISSNL: 0025-5718 OR 00255718
MRclass: 41A60 (44A15 65R10)
MRnumber: 87c:41024
MRreviewer: F. W. J. Olver
bibdate: Tue Oct 13 08:06:19 MDT 1998
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; JSTOR database
bibtimestamp: 1998.10.13 08:06:19 MDT
fjournal: Mathematics of Computation
acknowledgement: ack-nhfb
corpsource: Dept. of Math., British Columbia Univ., Vancouver, BC, Canada
journalURL: http://www.ams.org/mcom/
treatment: T Theoretical or Mathematical
rawauthor: C. L. Frenzen and R. Wong
rawtitle: A note on asymptotic evaluation of some {Hankel} transforms
keywords:
asymptotic expansion; Bessel function; Bessel functions; growth condition; Hankel transforms; meromorphic function; transforms

classcodes:
B0230 (Integral transforms); B0290Z (Other numerical methods)C1130 (Integral transforms); C4190 (Other numerical methods)

entry:
@Article{Frenzen:1985:NAE,
  author =       "C. L. Frenzen and R. Wong",
  title =        "A note on asymptotic evaluation of some {Hankel}
                 transforms",
  journal =      j-MATH-COMPUT,
  volume =       "45",
  number =       "172",
  pages =        "537--548",
  month =        oct,
  year =         "1985",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "41A60 (44A15 65R10)",
  MRnumber =     "87c:41024",
  MRreviewer =   "F. W. J. Olver",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0230 (Integral transforms); B0290Z (Other numerical
                 methods)C1130 (Integral transforms); C4190 (Other
                 numerical methods)",
  corpsource =   "Dept. of Math., British Columbia Univ., Vancouver, BC,
                 Canada",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "asymptotic expansion; Bessel function; Bessel
                 functions; growth condition; Hankel transforms;
                 meromorphic function; transforms",
  treatment =    "T Theoretical or Mathematical",
}


bibtype: inproceedings
filename: elefunt.bib
label: Gal:1985:CEF
author: Shmuel Gal
title: Computing Elementary Functions: a New Approach for Achieving High Accuracy and Good Performance
crossref: Miranker:1985:ASC
pages: 1--16
year: 1985
DOI: https://doi.org/10.1007/3-540-16798-6_1
bibdate: Thu Sep 01 12:27:23 1994
bibtimestamp: 1994.09.01 12:27:23 ???
acknowledgement: ack-nj
rawauthor: Shmuel Gal
rawtitle: Computing Elementary Functions: a New Approach for Achieving High Accuracy and Good Performance
bibsource:
garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib

entry:
@InProceedings{Gal:1985:CEF,
  author =       "Shmuel Gal",
  title =        "Computing Elementary Functions: a New Approach for
                 Achieving High Accuracy and Good Performance",
  crossref =     "Miranker:1985:ASC",
  pages =        "1--16",
  year =         "1985",
  DOI =          "https://doi.org/10.1007/3-540-16798-6_1",
  bibdate =      "Thu Sep 01 12:27:23 1994",
  bibsource =    "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nj,
}


bibtype: article
filename: elefunt.bib
label: Gustafson:1985:SCA
author: Sven-AA ke Gustafson
title: Stable convergence acceleration using Laplace transforms
journal: j-NUM-MATH
volume: 47
number: 3
pages: 387--394
month: nov
monthnumber: 11
year: 1985
CODEN: NUMMA7
ISSN: 0029-599X (print), 0945-3245 (electronic) OR 0029599X (print), 09453245 (electronic)
ISSNL: 0029-599X OR 0029599X
MRclass: 65B10 (65D30)
MRnumber: 86m:65009
bibdate: Mon May 26 11:49:34 MDT 1997
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 1997.05.26 11:49:34 MDT
fjournal: Numerische Mathematik
acknowledgement: ack-nhfb
corpsource: Dept. of Numerical Anal. and Comput. Sci., R. Inst. of Technol., Stockholm, Sweden
journalURL: http://link.springer.com/journal/211
treatment: T Theoretical or Mathematical
rawauthor: Sven-{\AA}ke Gustafson
rawtitle: Stable convergence acceleration using {Laplace} transforms
keywords:
convergence acceleration; Laplace transforms; power series; quadrature schemes; series (mathematics); stable convergence acceleration

entry:
@Article{Gustafson:1985:SCA,
  author =       "Sven-{\AA}ke Gustafson",
  title =        "Stable convergence acceleration using {Laplace}
                 transforms",
  journal =      j-NUM-MATH,
  volume =       "47",
  number =       "3",
  pages =        "387--394",
  month =        nov,
  year =         "1985",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "65B10 (65D30)",
  MRnumber =     "86m:65009",
  bibdate =      "Mon May 26 11:49:34 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  classification = "B0230 (Integral transforms); C1130 (Integral
                 transforms)",
  corpsource =   "Dept. of Numerical Anal. and Comput. Sci., R. Inst. of
                 Technol., Stockholm, Sweden",
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
  keywords =     "convergence acceleration; Laplace transforms; power
                 series; quadrature schemes; series (mathematics);
                 stable convergence acceleration",
  treatment =    "T Theoretical or Mathematical",
}


bibtype: article
filename: elefunt.bib
label: Hill:1985:RCS
author: I. D. Hill and M. C. Pike
title: Remark on ``Algorithm 299: Chi-Squared Integral''
journal: j-TOMS
volume: 11
number: 2
pages: 185--185
month: jun
monthnumber: 6
year: 1985
CODEN: ACMSCU
ISSN: 0098-3500 (print), 1557-7295 (electronic) OR 00983500 (print), 15577295 (electronic)
ISSNL: 0098-3500 OR 00983500
bibdate: Tue Feb 06 05:28:22 1996
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 1996.02.06 05:28:22 ???
note: See cite Hill:1967:ACS,elLozy:1976:RAC,elLozy:1979:RAS.
fjournal: ACM Transactions on Mathematical Software (TOMS)
acknowledgement: ack-nhfb
journalURL: https://dl.acm.org/loi/toms
rawauthor: I. D. Hill and M. C. Pike
rawnote: See \cite{Hill:1967:ACS,elLozy:1976:RAC,elLozy:1979:RAS}.
rawtitle: Remark on ``{Algorithm 299: Chi-Squared Integral}''
entry:
@Article{Hill:1985:RCS,
  author =       "I. D. Hill and M. C. Pike",
  title =        "Remark on ``{Algorithm 299: Chi-Squared Integral}''",
  journal =      j-TOMS,
  volume =       "11",
  number =       "2",
  pages =        "185--185",
  month =        jun,
  year =         "1985",
  CODEN =        "ACMSCU",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Tue Feb 06 05:28:22 1996",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See
                 \cite{Hill:1967:ACS,elLozy:1976:RAC,elLozy:1979:RAS}.",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
  journal-URL =  "https://dl.acm.org/loi/toms",
}


bibtype: article
filename: elefunt.bib
label: Hull:1985:PRV
author: T. E. Hull and A. Abrham
title: Properly Rounded Variable Precision Square Root
journal: j-TOMS
volume: 11
number: 3
pages: 229--237
month: sep
monthnumber: 9
year: 1985
CODEN: ACMSCU
DOI: https://doi.org/10.1145/214408.214413
ISSN: 0098-3500 (print), 1557-7295 (electronic) OR 00983500 (print), 15577295 (electronic)
ISSNL: 0098-3500 OR 00983500
MRclass: 65D15 (65G05)
MRnumber: 87a:65041
bibdate: Fri Nov 8 18:01:57 MST 2002
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: ACM Transactions on Mathematical Software (TOMS)
keywords: algorithms; decimal floating-point arithmetic; verification
acknowledgement: ack-nhfb
journalURL: https://dl.acm.org/loi/toms
rawauthor: T. E. Hull and A. Abrham
rawtitle: Properly Rounded Variable Precision Square Root
bibsource:
ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/toms.bib

URL:
http://www.acm.org/pubs/citations/journals/toms/1985-11-3/p229-hull/; http://www.acm.org/pubs/toc/Abstracts/toms/214413.html

abstract:
The square root function presented here returns a properly rounded approximation to the square root of its argument, or it raises an error condition if the argument is negative. em Properly rounded means rounded to the nearest, or to nearest even in case of a tie. It is em variable precision in that it is designed to return a $p$-digit approximation to a $p$-digit argument, for any $ p > 0 $. (Precision $p$ means $p$ decimal digits.) The program and the analysis are valid for all $ p > 0 $, but current implementations place some restrictions on $p$.

subject:
bf G.1.2: Mathematics of Computing, NUMERICAL ANALYSIS, Approximation, Elementary function approximation. bf G.4: Mathematics of Computing, MATHEMATICAL SOFTWARE, Algorithm analysis. bf G.4: Mathematics of Computing, MATHEMATICAL SOFTWARE, Certification and testing. bf G.4: Mathematics of Computing, MATHEMATICAL SOFTWARE, Verification. bf G.1.0: Mathematics of Computing, NUMERICAL ANALYSIS, General, Error analysis. bf G.1.0: Mathematics of Computing, NUMERICAL ANALYSIS, General, Numerical algorithms.

rawabstract:
The square root function presented here returns a properly rounded approximation to the square root of its argument, or it raises an error condition if the argument is negative. {\em Properly rounded} means rounded to the nearest, or to nearest even in case of a tie. It is {\em variable precision} in that it is designed to return a $p$-digit approximation to a $p$-digit argument, for any $ p > 0 $. (Precision $p$ means $p$ decimal digits.) The program and the analysis are valid for all $ p > 0 $, but current implementations place some restrictions on $p$.

entry:
@Article{Hull:1985:PRV,
  author =       "T. E. Hull and A. Abrham",
  title =        "Properly Rounded Variable Precision Square Root",
  journal =      j-TOMS,
  volume =       "11",
  number =       "3",
  pages =        "229--237",
  month =        sep,
  year =         "1985",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/214408.214413",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  MRclass =      "65D15 (65G05)",
  MRnumber =     "87a:65041",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/toms.bib",
  URL =          "http://www.acm.org/pubs/citations/journals/toms/1985-11-3/p229-hull/;
                 http://www.acm.org/pubs/toc/Abstracts/toms/214413.html",
  abstract =     "The square root function presented here returns a
                 properly rounded approximation to the square root of
                 its argument, or it raises an error condition if the
                 argument is negative. {\em Properly rounded} means
                 rounded to the nearest, or to nearest even in case of a
                 tie. It is {\em variable precision} in that it is
                 designed to return a $p$-digit approximation to a
                 $p$-digit argument, for any $ p > 0 $. (Precision $p$
                 means $p$ decimal digits.) The program and the analysis
                 are valid for all $ p > 0 $, but current
                 implementations place some restrictions on $p$.",
  acknowledgement = ack-nhfb,
  catcode =      "G.4; G.4; G.1.0; G.1.2; G.4; G.1.0",
  CRclass =      "G.4 Algorithm analysis; G.4 Verification; G.1.0
                 General; G.1.0 Numerical algorithms; G.1.2
                 Approximation; G.1.2 Elementary function approximation;
                 G.4 Certification and testing; G.1.0 General; G.1.0
                 Error analysis",
  descriptor =   "Mathematics of Computing, MATHEMATICAL SOFTWARE,
                 Algorithm analysis; Mathematics of Computing,
                 MATHEMATICAL SOFTWARE, Verification; Mathematics of
                 Computing, NUMERICAL ANALYSIS, General, Numerical
                 algorithms; Mathematics of Computing, NUMERICAL
                 ANALYSIS, Approximation, Elementary function
                 approximation; Mathematics of Computing, MATHEMATICAL
                 SOFTWARE, Certification and testing; Mathematics of
                 Computing, NUMERICAL ANALYSIS, General, Error
                 analysis",
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
  genterm =      "algorithms; verification",
  guideno =      "02789",
  journal-URL =  "https://dl.acm.org/loi/toms",
  jrldate =      "Sept. 1985",
  keywords =     "algorithms; decimal floating-point arithmetic;
                 verification",
  subject =      "{\bf G.1.2}: Mathematics of Computing, NUMERICAL
                 ANALYSIS, Approximation, Elementary function
                 approximation. {\bf G.4}: Mathematics of Computing,
                 MATHEMATICAL SOFTWARE, Algorithm analysis. {\bf G.4}:
                 Mathematics of Computing, MATHEMATICAL SOFTWARE,
                 Certification and testing. {\bf G.4}: Mathematics of
                 Computing, MATHEMATICAL SOFTWARE, Verification. {\bf
                 G.1.0}: Mathematics of Computing, NUMERICAL ANALYSIS,
                 General, Error analysis. {\bf G.1.0}: Mathematics of
                 Computing, NUMERICAL ANALYSIS, General, Numerical
                 algorithms.",
}


bibtype: article
filename: elefunt.bib
label: Humblet:1985:BFE
author: J. Humblet
title: Bessel function expansions of Coulomb wave functions
journal: j-J-MATH-PHYS
volume: 26
number: 4
pages: 656--659
month: apr
monthnumber: 4
year: 1985
CODEN: JMAPAQ
DOI: https://doi.org/10.1063/1.526602
ISSNL: 0022-2488 OR 00222488
MRclass: 81C05 (33A40 81G45)
MRnumber: 87c:81034
bibdate: Mon Oct 31 11:57:19 MDT 2011
bibtimestamp: 2011.10.31 11:57:19 MDT
URL: http://jmp.aip.org/resource/1/jmapaq/v26/i4/p656_s1
fjournal: Journal of Mathematical Physics
acknowledgement: ack-nhfb
journalURL: http://jmp.aip.org/
rawauthor: J. Humblet
rawtitle: {Bessel} function expansions of {Coulomb} wave functions
bibsource:
http://jmp.aip.org/; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/jmathphys1985.bib

entry:
@Article{Humblet:1985:BFE,
  author =       "J. Humblet",
  title =        "{Bessel} function expansions of {Coulomb} wave
                 functions",
  journal =      j-J-MATH-PHYS,
  volume =       "26",
  number =       "4",
  pages =        "656--659",
  month =        apr,
  year =         "1985",
  CODEN =        "JMAPAQ",
  DOI =          "https://doi.org/10.1063/1.526602",
  ISSN =         "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
  ISSN-L =       "0022-2488",
  MRclass =      "81C05 (33A40 81G45)",
  MRnumber =     "87c:81034",
  bibdate =      "Mon Oct 31 11:57:19 MDT 2011",
  bibsource =    "http://jmp.aip.org/;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/jmathphys1985.bib",
  URL =          "http://jmp.aip.org/resource/1/jmapaq/v26/i4/p656_s1",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Mathematical Physics",
  journal-URL =  "http://jmp.aip.org/",
  pagecount =    "4",
}


bibtype: article
filename: elefunt.bib
label: Jones:1985:CIG
author: William B. Jones and W. J. Thron
title: On the computation of incomplete gamma functions in the complex domain
journal: j-J-COMPUT-APPL-MATH
volume: 12--13
pages: 401--417
month: may
monthnumber: 5
year: 1985
CODEN: JCAMDI
ISSN: 0377-0427 (print), 1879-1778 (electronic) OR 03770427 (print), 18791778 (electronic)
ISSNL: 0377-0427 OR 03770427
bibdate: Sat Feb 25 12:27:12 MST 2017
bibtimestamp: 2017.02.25 12:27:12 MST
URL: http://www.sciencedirect.com/science/article/pii/0377042785900342
fjournal: Journal of Computational and Applied Mathematics
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/03770427
rawauthor: William B. Jones and W. J. Thron
rawtitle: On the computation of incomplete gamma functions in the complex domain
entry:
@Article{Jones:1985:CIG,
  author =       "William B. Jones and W. J. Thron",
  title =        "On the computation of incomplete gamma functions in
                 the complex domain",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "12--13",
  number =       "??",
  pages =        "401--417",
  month =        may,
  year =         "1985",
  CODEN =        "JCAMDI",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  bibdate =      "Sat Feb 25 12:27:12 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputapplmath1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0377042785900342",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}


bibtype: article
filename: elefunt.bib
label: Kravchuk:1985:ACE
author: V. R. Kravchuk
title: Approximation of certain elementary functions by rational functions of order $ (n, 2) $. (Russian)
journal: Akad. Nauk Ukrain. SSR Inst. Mat. Preprint
volume: 18
pages: 7--40
year: 1985
MRclass: 41A25 (41A10)
MRnumber: 87b:41017
MRreviewer: R. Smarzewski
bibdate: Sat Jan 11 17:44:01 MST 1997
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 1997.01.11 17:44:01 MST
language: Russian
acknowledgement: ack-nhfb
rawauthor: V. R. Kravchuk
rawtitle:
Approximation of certain elementary functions by rational functions of order $ (n, 2) $. ({Russian})

entry:
@Article{Kravchuk:1985:ACE,
  author =       "V. R. Kravchuk",
  title =        "Approximation of certain elementary functions by
                 rational functions of order $ (n, 2) $. ({Russian})",
  journal =      "Akad. Nauk Ukrain. SSR Inst. Mat. Preprint",
  volume =       "18",
  pages =        "7--40",
  year =         "1985",
  MRclass =      "41A25 (41A10)",
  MRnumber =     "87b:41017",
  MRreviewer =   "R. Smarzewski",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  language =     "Russian",
}


bibtype: article
filename: elefunt.bib
label: Kravchuk:1985:EAE
author: V. R. Kravchuk
journal: j-UKR-MAT-Z
volume: 37
number: 2
pages: 175--180, 270
year: 1985
CODEN: UMZHAA
ISSN: 0041-6053 OR 00416053
MRclass: 41A20 (41A25)
MRnumber: 86h:41013
MRreviewer: Miguel A. Jim{\'e}nez Pozo
bibdate: Sat Jan 11 17:44:01 MST 1997
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 1997.01.11 17:44:01 MST
fjournal: Ukrainskii matematicheskii zhurnal
language: Russian
acknowledgement: ack-nhfb
rawauthor: V. R. Kravchuk
title:
Effective approximation of elementary functions by rational polynomials of order $ (n, 1) $. (Russian)

rawtitle:
Effective approximation of elementary functions by rational polynomials of order $ (n, 1) $. ({Russian})

entry:
@Article{Kravchuk:1985:EAE,
  author =       "V. R. Kravchuk",
  title =        "Effective approximation of elementary functions by
                 rational polynomials of order $ (n, 1) $. ({Russian})",
  journal =      j-UKR-MAT-Z,
  volume =       "37",
  number =       "2",
  pages =        "175--180, 270",
  year =         "1985",
  CODEN =        "UMZHAA",
  ISSN =         "0041-6053",
  MRclass =      "41A20 (41A25)",
  MRnumber =     "86h:41013",
  MRreviewer =   "Miguel A. Jim{\'e}nez Pozo",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Ukrainskii matematicheskii zhurnal",
  language =     "Russian",
}


bibtype: article
filename: elefunt.bib
label: Lazard:1985:PFD
author: Daniel Lazard
journal: Asterisque
volume: 121--122
pages: 295--308
year: 1985
MRclass: 12H05 (12-04)
MRnumber: 86k:12010
MRreviewer: J. H. Davenport
bibdate: Sat Jan 11 17:44:01 MST 1997
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 1997.01.11 17:44:01 MST
language: French
acknowledgement: ack-nhfb
rawauthor: Daniel Lazard
title:
Primitives des fonctions elementaires (d'apres Risch et Davenport). (French) [Primitives of elementary functions (following Risch and Davenport)] Seminar Bourbaki, Vol. 1983/84, No. 121-122

rawtitle:
Primitives des fonctions {\'e}l{\'e}mentaires (d'apr{\`e}s {Risch} et {Davenport}). ({French}) [Primitives of elementary functions (following {Risch} and {Davenport})] {Seminar Bourbaki, Vol. 1983/84, No. 121-122}

entry:
@Article{Lazard:1985:PFD,
  author =       "Daniel Lazard",
  title =        "Primitives des fonctions {\'e}l{\'e}mentaires
                 (d'apr{\`e}s {Risch} et {Davenport}). ({French})
                 [Primitives of elementary functions (following {Risch}
                 and {Davenport})] {Seminar Bourbaki, Vol. 1983/84, No.
                 121-122}",
  journal =      "Ast{\'e}risque",
  volume =       "121--122",
  pages =        "295--308",
  year =         "1985",
  MRclass =      "12H05 (12-04)",
  MRnumber =     "86k:12010",
  MRreviewer =   "J. H. Davenport",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  language =     "French",
}


bibtype: article
filename: elefunt.bib
label: Lewanowicz:1985:RRH
author: Stanislaw Lewanowicz
title: Recurrence relations for hypergeometric functions of unit argument
journal: j-MATH-COMPUT
volume: 45
number: 172
pages: 521--535
month: oct
monthnumber: 10
year: 1985
CODEN: MCMPAF
ISSN: 0025-5718 (print), 1088-6842 (electronic) OR 00255718 (print), 10886842 (electronic)
ISSNL: 0025-5718 OR 00255718
MRclass: 33A35 (65Q05)
MRnumber: 86m:33004
MRreviewer: S. Conde
bibdate: Tue Oct 13 08:06:19 MDT 1998
bibtimestamp: 1998.10.13 08:06:19 MDT
fjournal: Mathematics of Computation
acknowledgement: ack-nhfb
classcodes: B0290 (Numerical analysis); C4100 (Numerical analysis)
corpsource: Inst. of Comput. Sci., Wroclaw Univ., Poland
journalURL: http://www.ams.org/mcom/
treatment: T Theoretical or Mathematical
rawauthor: Stanis{\l}aw Lewanowicz
rawtitle: Recurrence relations for hypergeometric functions of unit argument
bibsource:
https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database

keywords:
(mathematics); convergence of numerical methods; hypergeometric function; numerical analysis; recurrence relation; series; unit argument

entry:
@Article{Lewanowicz:1985:RRH,
  author =       "Stanis{\l}aw Lewanowicz",
  title =        "Recurrence relations for hypergeometric functions of
                 unit argument",
  journal =      j-MATH-COMPUT,
  volume =       "45",
  number =       "172",
  pages =        "521--535",
  month =        oct,
  year =         "1985",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "33A35 (65Q05)",
  MRnumber =     "86m:33004",
  MRreviewer =   "S. Conde",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290 (Numerical analysis); C4100 (Numerical
                 analysis)",
  corpsource =   "Inst. of Comput. Sci., Wroclaw Univ., Poland",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "(mathematics); convergence of numerical methods;
                 hypergeometric function; numerical analysis; recurrence
                 relation; series; unit argument",
  treatment =    "T Theoretical or Mathematical",
}


