Name
j0, j0f, j0l, j1, j1f, j1l, jn, jnf, jnl — Bessel functions of the first kind
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); |
![[Note]](../stylesheet/note.png) |
Note | ||||||||
|---|---|---|---|---|---|---|---|---|---|
|
|
|
Note |
|---|---|
|
Link with |
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(), 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.
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
xis too large in magnitude -
errnois set to ERANGE.
These functions do not raise exceptions for fetestexcept(3).
ATTRIBUTES
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 |
CONFORMING TO
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.
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 4.07 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/.
|
Copyright 1993 David Metcalfe (davidprism.demon.co.uk) and Copyright 2008, Linux Foundation, written by Michael Kerrisk <mtk.manpagesgmail.com> %%%LICENSE_START(VERBATIM) Permission is granted to make and distribute verbatim copies of this manual provided the copyright notice and this permission notice are preserved on all copies. Permission is granted to copy and distribute modified versions of this manual under the conditions for verbatim copying, provided that the entire resulting derived work is distributed under the terms of a permission notice identical to this one. Since the Linux kernel and libraries are constantly changing, this manual page may be incorrect or out-of-date. The author(s) assume no responsibility for errors or omissions, or for damages resulting from the use of the information contained herein. The author(s) may not have taken the same level of care in the production of this manual, which is licensed free of charge, as they might when working professionally. Formatted or processed versions of this manual, if unaccompanied by the source, must acknowledge the copyright and authors of this work. %%%LICENSE_END References consulted: Linux libc source code Lewine's _POSIX Programmer's Guide_ (O'Reilly & Associates, 1991) 386BSD man pages Modified Sat Jul 24 19:08:17 1993 by Rik Faith (faithcs.unc.edu) Modified 2002-08-25, aeb Modified 2004-11-12 as per suggestion by Fabian Kreutz/AEB 2008-07-24, mtk, moved yxx() material into separate y0.3 page |