BKS1 3CW "22 April 2008" "mathcw-1.00"
Table of contents
bks1f, bks1, bks1l, bks1w, bks1q, bks1ll, bks1df, bks1d, bks1dl, bks1dll - exponentially-scaled modified Bessel function of second kind and order 1
cc [ flags ] -I/usr/local/include file(s) -L/usr/local/lib -lmcw [ ... ]
#include <mathcw.h>
extern float bks1f (float x);
extern double bks1 (double x);
extern long double bks1l (long double x);
extern __float80 bks1w (__float80 x);
extern __float128 bks1q (__float128 x);
extern long_long_double bks1ll (long_long_double x);
extern decimal_float bks1df (decimal_float x);
extern decimal_double bks1d (decimal_double x);
extern decimal_long_double bks1dl (decimal_long_double x);
extern decimal_long_long_double bks1dll (decimal_long_long_double x);
NB: Functions with prototypes containing underscores in type names
may be available only with certain extended compilers.
Compute the exponentially-scaled modified Bessel function of
the second kind and order 1,
Ks(1,x),
mathematically equivalent to
exp(+x) K(1,x),
although not computed that way.
The modified Bessel functions provided by these software
implementations are defined according to Chapter 9, Bessel
Functions of Integer Order, of the Handbook of Mathematical
Functions, edited by Milton Abramowitz and Irene A. Stegun,
National Bureau of Standards Applied Mathematics Series #55, US
Department of Commerce, Washington, DC (1964).
Although in mathematics, uppercase letters name the ordinary and
modified Bessel functions, and lowercase letters name the spherical
Bessel functions, the lowercase names of the POSIX Bessel functions
mean the former, not the latter.
If the argument is finite, its modified Bessel function value of the
first kind and order 1 is returned. Otherwise, a quiet NaN is returned.
If the argument is a NaN, errno is set to EDOM, and that
NaN is returned.
bi0(3CW),
bi1(3CW),
bin(3CW),
bis0(3CW),
bis1(3CW),
bisn(3CW),
bk0(3CW),
bk1(3CW),
bkn(3CW),
bks0(3CW),
bksn(3CW),
j0(3CW),
j1(3CW),
jn(3CW),
sbi0(3CW),
sbi1(3CW),
sbin(3CW),
sbis0(3CW),
sbis1(3CW),
sbisn(3CW),
sbj0(3CW),
sbj1(3CW),
sbjn(3CW),
sbk0(3CW),
sbk1(3CW),
sbkn(3CW),
sbks0(3CW),
sbks1(3CW),
sbksn(3CW),
sby0(3CW),
sby1(3CW),
sbyn(3CW),
vbi(3CW),
vbis(3CW),
vbj(3CW),
vbk(3CW),
vbks(3CW),
vby(3CW),
vsbi(3CW),
vsbis(3CW),
vsbj(3CW),
vsbk(3CW),
vsbks(3CW),
vsby(3CW),
y0(3CW),
y1(3CW),
yn(3CW).