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

Table of contents


NAME

sbjnf, sbjn, sbjnl, sbjnw, sbjnq, sbjnll, sbjndf, sbjnd, sbjndl, sbjndll - spherical Bessel function of first kind and order n

SYNOPSIS

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

#include <mathcw.h>

extern float sbjnf (int n, float x);

extern double sbjn (int n, double x);

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

extern __float80 sbjnw (int n, __float80 x);

extern __float128 sbjnq (int n, __float128 x);

extern long_long_double sbjnll (int n, long_long_double x);

extern decimal_float sbjndf (int n, decimal_float x);

extern decimal_double sbjnd (int n, decimal_double x);

extern decimal_long_double sbjndl (int n, decimal_long_double x);

extern decimal_long_long_double sbjndll (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 spherical Bessel function of the first kind and order n, j(n,x).

The 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 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 spherical Bessel function value of the first 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), 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).