J0

NAME

j0, j0f, j0l, j1, j1f, j1l, jn, jnf, jnl, y0, y0f, y0l, y1, y1f, y1l, yn, ynf, ynl - Bessel functions

SYNOPSIS

#include <math.h>

double j0(double x);


double j1(double x);


double jn(int n, double x);


double y0(double x);


double y1(double x);


double yn(int n, double x);

float j0f(float x);


float j1f(float x);


float jnf(int n, float x);


float y0f(float x);


float y1f(float x);


float ynf(int n, float x);

long double j0l(long double x);


long double j1l(long double x);


long double jnl(int n, long double x);


long double y0l(long double x);


long double y1l(long double x);


long double ynl(int n, long double x);

DESCRIPTION

The j0() and j1() functions return Bessel functions of x of the first kind of orders 0 and 1, respectively. The jn() function returns the Bessel function of x of the first kind of order n.

The y0() and y1() functions return Bessel functions of x of the second kind of orders 0 and 1, respectively. The yn() function returns the Bessel function of x of the second kind of order n.

For the functions y0(), y1() and yn(), the value of x must be positive. For negative values of x, these functions return -HUGE_VAL.

The j0f() etc. and j0l() etc. functions are versions that take and return float and long double values, respectively.

CONFORMING TO

The functions returning double conform to SVID 3, BSD 4.3, XPG4, POSIX 1003.1-2001. The other functions are C99 requirements.

BUGS

There are errors of up to 2e-16 in the values returned by j0(), j1() and jn() for values of x between -8 and 8.