Content-type: text/html Man page of bessel

bessel

Section: C Library Functions (3)
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NAME

bessel, j0, j1, jn, y0, y1, yn - Compute Bessel functions  

LIBRARY

Math Library (libm.a)  

SYNOPSIS

#include <math.h>

double j0 (double x); float j0f (float x); double j1 (double x); float j1f (float x); double jn (int n, double x); float jnf (int n, float x); double y0 (double x); float y0f (float x); double y1 (double x); float y1f (float x); double yn (int n, double x); float ynf (int n, float x);  

STANDARDS

Interfaces documented on this reference page conform to industry standards 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(), j1(), and j1f() functions return the value of the Bessel function of the first kind of orders 0 (zero) and 1, respectively.

The jn() and jnf() functions return the value of the Bessel function of the first kind of order n.

The y0(), y0f(), y1(), and y1f() functions return the value of the Bessel functions of the second kind of orders 0 (zero) and 1, respectively.

The yn() and ynf() functions return the value of the Bessel function of the second kind of order n.

The following table describes function behavior in response to exceptional arguments:


FunctionExceptional ArgumentRoutine Behavior

j0(), j1(), jn()NoneN/A
j0f(), j1f(), jnf()NoneN/A
y0(), y1(), yn()x < 0Invalid argument
y0f(), y1f(), ynf()x < 0Invalid argument
y0(), y1(), yn()x = 0Overflow
y0f(), y1f(), ynf()x = 0Overflow

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.

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Index

NAME
LIBRARY
SYNOPSIS
STANDARDS
DESCRIPTION

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Time: 02:41:56 GMT, October 02, 2010