BKS0 3CW "22 April 2008" "mathcw-1.00"

Table of contents


NAME

bks0f, bks0, bks0l, bks0w, bks0q, bks0ll, bks0df, bks0d, bks0dl, bks0dll - exponentially-scaled modified Bessel function of second kind and order 0

SYNOPSIS

cc [ flags ] -I/usr/local/include file(s) -L/usr/local/lib -lmcw [ ... ]

#include <mathcw.h>

extern float bks0f (float x);

extern double bks0 (double x);

extern long double bks0l (long double x);

extern __float80 bks0w (__float80 x);

extern __float128 bks0q (__float128 x);

extern long_long_double bks0ll (long_long_double x);

extern decimal_float bks0df (decimal_float x);

extern decimal_double bks0d (decimal_double x);

extern decimal_long_double bks0dl (decimal_long_double x);

extern decimal_long_long_double bks0dll (decimal_long_long_double x);

NB: Functions with prototypes containing underscores in type names may be available only with certain extended compilers.


DESCRIPTION

Compute the exponentially-scaled modified Bessel function of the second kind and order 0, Ks(0,x), mathematically equivalent to exp(+x) K(0,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).


CAVEAT

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.

RETURN VALUES

If the argument is finite, its modified Bessel function value of the first kind and order 0 is returned. Otherwise, a quiet NaN is returned.

ERRORS

If the argument is a NaN, errno is set to EDOM, and that NaN is returned.

SEE ALSO

bi0(3CW), bi1(3CW), bin(3CW), bis0(3CW), bis1(3CW), bisn(3CW), bk0(3CW), bk1(3CW), bkn(3CW), bks1(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).