mirror of https://github.com/mkerrisk/man-pages
142 lines
3.5 KiB
Groff
142 lines
3.5 KiB
Groff
.\" Copyright 1993 David Metcalfe (david@prism.demon.co.uk)
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.\"
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.\" Permission is granted to make and distribute verbatim copies of this
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.\" manual provided the copyright notice and this permission notice are
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.\" preserved on all copies.
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.\"
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.\" Permission is granted to copy and distribute modified versions of this
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.\" manual under the conditions for verbatim copying, provided that the
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.\" entire resulting derived work is distributed under the terms of a
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.\" permission notice identical to this one.
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.\"
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.\" Since the Linux kernel and libraries are constantly changing, this
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.\" manual page may be incorrect or out-of-date. The author(s) assume no
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.\" responsibility for errors or omissions, or for damages resulting from
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.\" the use of the information contained herein. The author(s) may not
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.\" have taken the same level of care in the production of this manual,
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.\" which is licensed free of charge, as they might when working
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.\" professionally.
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.\"
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.\" Formatted or processed versions of this manual, if unaccompanied by
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.\" the source, must acknowledge the copyright and authors of this work.
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.\"
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.\" References consulted:
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.\" Linux libc source code
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.\" Lewine's _POSIX Programmer's Guide_ (O'Reilly & Associates, 1991)
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.\" 386BSD man pages
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.\" Modified Sat Jul 24 19:08:17 1993 by Rik Faith (faith@cs.unc.edu)
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.\" Modified 2002-08-25, aeb
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.\" Modified 2004-11-12 as per suggestion by Fabian Kreutz/AEB
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.\"
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.TH J0 3 2007-07-26 "" "Linux Programmer's Manual"
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.SH NAME
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j0, j0f, j0l, j1, j1f, j1l, jn, jnf, jnl,
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y0, y0f, y0l, y1, y1f, y1l, yn, ynf, ynl \- Bessel functions
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.SH SYNOPSIS
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.nf
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.B #include <math.h>
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.sp
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.BI "double j0(double " x );
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.br
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.BI "double j1(double " x );
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.br
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.BI "double jn(int " n ", double " x );
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.br
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.BI "double y0(double " x );
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.br
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.BI "double y1(double " x );
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.br
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.BI "double yn(int " n ", double " x );
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.sp
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.BI "float j0f(float " x );
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.br
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.BI "float j1f(float " x );
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.br
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.BI "float jnf(int " n ", float " x );
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.br
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.BI "float y0f(float " x );
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.br
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.BI "float y1f(float " x );
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.br
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.BI "float ynf(int " n ", float " x );
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.sp
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.BI "long double j0l(long double " x );
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.br
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.BI "long double j1l(long double " x );
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.br
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.BI "long double jnl(int " n ", long double " x );
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.br
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.BI "long double y0l(long double " x );
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.br
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.BI "long double y1l(long double " x );
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.br
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.BI "long double ynl(int " n ", long double " x );
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.fi
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.sp
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Link with \fI\-lm\fP.
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.sp
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.in -4n
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Feature Test Macro Requirements for glibc (see
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.BR feature_test_macros (7)):
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.in
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.sp
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.ad l
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For all of these functions:
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_SVID_SOURCE || _BSD_SOURCE || _XOPEN_SOURCE
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.ad b
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.SH DESCRIPTION
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The
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.BR j0 ()
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and
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.BR j1 ()
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functions return Bessel functions of \fIx\fP
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of the first kind of orders 0 and 1, respectively.
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The
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.BR jn ()
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function
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returns the Bessel function of \fIx\fP of the first kind of order \fIn\fP.
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.PP
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The
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.BR y0 ()
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and
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.BR y1 ()
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functions return Bessel functions of \fIx\fP
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of the second kind of orders 0 and 1, respectively.
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The
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.BR yn ()
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function
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returns the Bessel function of \fIx\fP of the second kind of order \fIn\fP.
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.PP
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For the functions
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.BR y0 (),
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.BR y1 ()
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and
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.BR yn (),
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the value of \fIx\fP
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must be positive.
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For negative values of \fIx\fP, these functions return
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\-\fBHUGE_VAL\fP.
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.PP
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The
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.BR j0f ()
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etc. and
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.BR j0l ()
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etc. functions are versions that take
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and return
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.I float
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and
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.I "long double"
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values, respectively.
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.SH "CONFORMING TO"
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The functions returning
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.I double
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conform to SVr4, 4.3BSD,
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POSIX.1-2001.
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.SH BUGS
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There are errors of up to 2e\-16 in the values returned by
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.BR j0 (),
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.BR j1 ()
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and
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.BR jn ()
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for values of \fIx\fP between \-8 and 8.
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