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NAME | SYNOPSIS | DESCRIPTION | RETURN VALUE | ERRORS | ATTRIBUTES | CONFORMING TO | BUGS | SEE ALSO | COLOPHON |
J0(3) Linux Programmer's Manual J0(3)
j0, j0f, j0l, j1, j1f, j1l, jn, jnf, jnl - Bessel functions of the
first kind
#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():
_XOPEN_SOURCE
|| /* Since glibc 2.19: */ _DEFAULT_SOURCE
|| /* Glibc versions <= 2.19: */ _SVID_SOURCE || _BSD_SOURCE
j0f(), j0l(), j1f(), j1l(), jnf(), jnl():
_XOPEN_SOURCE >= 600
|| (_ISOC99_SOURCE && _XOPEN_SOURCE)
|| /* Since glibc 2.19: */ _DEFAULT_SOURCE
|| /* Glibc versions <= 2.19: */ _SVID_SOURCE || _BSD_SOURCE
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(), j1f(), and jnf(), functions are versions that take and
return float values. The j0l(), j1l(), and jnl() functions are
versions that take and return long double values.
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.
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).
For an explanation of the terms used in this section, see
attributes(7).
┌───────────────────┬───────────────┬─────────┐
│Interface │ Attribute │ Value │
├───────────────────┼───────────────┼─────────┤
│j0(), j0f(), j0l() │ Thread safety │ MT-Safe │
├───────────────────┼───────────────┼─────────┤
│j1(), j1f(), j1l() │ Thread safety │ MT-Safe │
├───────────────────┼───────────────┼─────────┤
│jn(), jnf(), jnl() │ Thread safety │ MT-Safe │
└───────────────────┴───────────────┴─────────┘
The functions returning double conform to SVr4, 4.3BSD, POSIX.1-2001,
and POSIX.1-2008. The others are nonstandard functions that also
exist on the BSDs.
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.
y0(3)
This page is part of release 4.12 of the Linux man-pages project. A
description of the project, information about reporting bugs, and the
latest version of this page, can be found at
https://www.kernel.org/doc/man-pages/.
2016-03-15 J0(3)
Pages that refer to this page: y0(3)