j0
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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);
[Note] Note
Feature Test Macro Requirements for glibc (see feature_test_macros(7)):
For all of these functions: _SVID_SOURCE || _BSD_SOURCE || _XOPEN_SOURCE
[Note] Note

Link with −lm.

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 SVr4, 4.3BSD, POSIX.1-2001.

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.

COLOPHON

This page is part of release 2.79 of the Linux man-pages project. A description of the project, and information about reporting bugs, can be found at http://www.kernel.org/doc/man-pages/.

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