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

Table of contents


NAME

sbksnf, sbksn, sbksnl, sbksnw, sbksnq, sbksnll, sbksndf, sbksnd, sbksndl, sbksndll - exponentially-scaled modified spherical Bessel function of second kind and order n

SYNOPSIS

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

#include <mathcw.h>

extern float sbksnf (int n, float x);

extern double sbksn (int n, double x);

extern long double sbksnl (int n, long double x);

extern __float80 sbksnw (int n, __float80 x);

extern __float128 sbksnq (int n, __float128 x);

extern long_long_double sbksnll (int n, long_long_double x);

extern decimal_float sbksndf (int n, decimal_float x);

extern decimal_double sbksnd (int n, decimal_double x);

extern decimal_long_double sbksndl (int n, decimal_long_double x);

extern decimal_long_long_double sbksndll (int n, 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 spherical Bessel function of the second kind and order n, ks(n,x).

The modified spherical Bessel functions provided by these software implementations are defined according to Chapter 10, Bessel Functions of Fractional 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 exponentially-scaled modified spherical Bessel function value of the second kind and order n 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), bks0(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), 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).