ffix

[thirdparty/man-pages.git] / man3 / j0.3

.\" Copyright 1993 David Metcalfe (david@prism.demon.co.uk)
.\"
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.\" 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 (faith@cs.unc.edu)
.\" Modified 2002-08-25, aeb
.\" Modified 2004-11-12 as per suggestion by Fabian Kreutz/AEB
.\"
.TH J0 3  2002-08-25 "" "Linux Programmer's Manual"
.SH NAME
j0, j0f, j0l, j1, j1f, j1l, jn, jnf, jnl,
y0, y0f, y0l, y1, y1f, y1l, yn, ynf, ynl \- Bessel functions
.SH SYNOPSIS
.nf
.B #define _GNU_SOURCE
.B #include <math.h>
.sp
.BI "double j0(double " x );
.br
.BI "double j1(double " x );
.br
.BI "double jn(int " n ", double " x );
.br
.BI "double y0(double " x );
.br
.BI "double y1(double " x );
.br
.BI "double yn(int " n ", double " x );
.sp
.BI "float j0f(float " x );
.br
.BI "float j1f(float " x );
.br
.BI "float jnf(int " n ", float " x );
.br
.BI "float y0f(float " x );
.br
.BI "float y1f(float " x );
.br
.BI "float ynf(int " n ", float " x );
.sp
.BI "long double j0l(long double " x );
.br
.BI "long double j1l(long double " x );
.br
.BI "long double jnl(int " n ", long double " x );
.br
.BI "long double y0l(long double " x );
.br
.BI "long double y1l(long double " x );
.br
.BI "long double ynl(int " n ", long double " x );
.fi
.sp
Link with \fI-lm\fP.
.SH DESCRIPTION
The
.BR j0 ()
and
.BR j1 ()
functions return Bessel functions of \fIx\fP
of the first kind of orders 0 and 1, respectively.
The
.BR jn ()
function
returns the Bessel function of \fIx\fP of the first kind of order \fIn\fP.
.PP
The
.BR y0 ()
and
.BR y1 ()
functions return Bessel functions of \fIx\fP
of the second kind of orders 0 and 1, respectively.
The
.BR yn ()
function
returns the Bessel function of \fIx\fP of the second kind of order \fIn\fP.
.PP
For the functions
.BR y0 (),
.BR y1 ()
and
.BR yn (),
the value of \fIx\fP
must be positive.
For negative values of \fIx\fP, these functions return
\-\fBHUGE_VAL\fP.
.PP
The
.BR j0f ()
etc. and
.BR j0l ()
etc. functions are versions that take
and return
.I float
and
.I "long double"
values, respectively.
.SH "CONFORMING TO"
The functions returning
.I double
conform to SVr4, 4.3BSD,
POSIX.1-2001.
.SH BUGS
There are errors of up to 2e\-16 in the values returned by
.BR j0 (),
.BR j1 ()
and
.BR jn ()
for values of \fIx\fP between \-8 and 8.
.SH "SEE ALSO"
.BR feature_test_macros (7)