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); |
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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.
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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Copyright 1993 David Metcalfe (davidprism.demon.co.uk) 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 Since the Linux kernel and libraries are constantly changing, this manual page may be incorrect or out-of-date.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. 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 |