bessel(3)bessel(3)NAME
bessel, j0, j1, jn, y0, y1, yn - Compute Bessel functions
SYNOPSIS
#include <math.h>
double j0(
double x ); float j0f(
float x ); long double j0l(
long double x ); double j1(
double x ); float j1f(
float x ); long double j1l(
long double x ); double jn(
int n,
double x ); float jnf(
int n,
float x ); long double jnl(
int n,
long double x ); double y0(
double x ); float y0f(
float x ); long double y0l(
long double x ); double y1(
double x ); float y1f(
float x ); long double y1l(
long double x ); double yn(
int n,
double x ); float ynf(
int n,
float x ); long double ynl(
int n,
long double x );
LIBRARY
Math Library (libm)
STANDARDS
Interfaces documented on this reference page conform to industry stan‐
dards as follows:
j0(): XPG4
j1(): XPG4
jn(): XPG4
y0(): XPG4
y1(): XPG4
yn(): XPG4
Refer to the standards(5) reference page for more information about
industry standards and associated tags.
DESCRIPTION
The j0(), j0f(), j0l(), j1(), j1f(), and j1l() functions return the
value of the Bessel function of the first kind of orders 0 (zero) and
1, respectively.
The jn(), jnf(), and jnl() functions return the value of the Bessel
function of the first kind of order n.
The y0(), y0f(), y0l(), y1(), y1f(), and y1l() functions return the
value of the Bessel functions of the second kind of orders 0 (zero) and
1, respectively.
The yn(), ynf(), and ynl() functions return the value of the Bessel
function of the second kind of order n.
The following table describes function behavior in response to excep‐
tional arguments:
──────────────────────────────────────────────────────────────────
Function Exceptional Argument Routine Behavior
──────────────────────────────────────────────────────────────────
j0(), j1(), jn() None N/A
j0f(), j1f(), jnf() None N/A
j0l(),j1l(), jnl() None N/A
y0(), y1(), yn() x < 0 Invalid argument
y0f(), y1f(), ynf() x < 0 Invalid argument
y0l(), y1l(), ynl() x < 0 Invalid argument
y0(), y1(), yn() x = 0 Overflow
y0f(), y1f(), ynf() x = 0 Overflow
y0l(), y1l(), ynl() x = 0 Overflow
──────────────────────────────────────────────────────────────────
The j1() and jn() functions can result in an underflow as x gets small.
The largest value of x for which this occurs is a function of n.
The y1() and yn() functions can result in an overflow as x gets small.
The largest value of x for which this occurs is a function of n.
bessel(3)
