Manual Reference Pages - J0 (3)
NAME
j0, j0f, j0l, j1, j1f, j1l, jn, jnf, jnl -
Bessel functions of the first kind
CONTENTS
Synopsis
Description
Return Value
Errors
Bugs
See Also
Colophon
SYNOPSIS
#include <math.h>

double j0(double x );
double j1(double x );
double jn(int n , double x );
float j0f(float x );
float j1f(float x );
float jnf(int n , float x );

long double j0l(long double x );
long double j1l(long double x );
long double jnl(int n , long double x );

Link with -lm .

Feature Test Macro Requirements for glibc (see
feature_test_macros (7)):

j0 (),
j1 (),
jn ():

_SVID_SOURCE || _BSD_SOURCE || _XOPEN_SOURCE
j0f (),
j0l (),
j1f (),
j1l (),
jnf (),
jnl ():
_SVID_SOURCE || _BSD_SOURCE || _XOPEN_SOURCE >= 600
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
j0f () etc. and
j0l () etc. functions are versions that take and return
float and
long double values, respectively.

RETURN VALUE
On success, these functions return the appropriate
Bessel value of the first kind for
x .
If
x is a NaN, a NaN is returned.

If
x is too large in magnitude,
or the result underflows,
a range error occurs,
and the return value is 0.

ERRORS
See
math_error (7)
for information on how to determine whether an error has occurred
when calling these functions.
The following errors can occur:

Range error: result underflow, or x is too large in magnitude
errno is set to
ERANGE .

These functions do not raise exceptions for
fetestexcept (3).
CONFORMING TO
The functions returning
double conform to SVr4, 4.3BSD,
POSIX.1-2001.
The others are nonstandard functions that also exist on the BSDs.
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.
SEE ALSO
y0 (3)
COLOPHON
This page is part of release 3.44 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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