mirror of
https://git.FreeBSD.org/src.git
synced 2024-12-24 11:29:10 +00:00
8e26469445
errno, replacing them with a discussion of IEEE exceptions where appropriate. Cross-reference fenv(3) whenever exceptions are mentioned.
143 lines
3.3 KiB
Groff
143 lines
3.3 KiB
Groff
.\" Copyright (c) 1985, 1991 Regents of the University of California.
|
|
.\" All rights reserved.
|
|
.\"
|
|
.\" Redistribution and use in source and binary forms, with or without
|
|
.\" modification, are permitted provided that the following conditions
|
|
.\" are met:
|
|
.\" 1. Redistributions of source code must retain the above copyright
|
|
.\" notice, this list of conditions and the following disclaimer.
|
|
.\" 2. Redistributions in binary form must reproduce the above copyright
|
|
.\" notice, this list of conditions and the following disclaimer in the
|
|
.\" documentation and/or other materials provided with the distribution.
|
|
.\" 3. All advertising materials mentioning features or use of this software
|
|
.\" must display the following acknowledgement:
|
|
.\" This product includes software developed by the University of
|
|
.\" California, Berkeley and its contributors.
|
|
.\" 4. Neither the name of the University nor the names of its contributors
|
|
.\" may be used to endorse or promote products derived from this software
|
|
.\" without specific prior written permission.
|
|
.\"
|
|
.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
|
|
.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
|
|
.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
|
|
.\" ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
|
|
.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
|
|
.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
|
|
.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
|
|
.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
|
|
.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
|
|
.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
|
|
.\" SUCH DAMAGE.
|
|
.\"
|
|
.\" from: @(#)j0.3 6.7 (Berkeley) 4/19/91
|
|
.\" $FreeBSD$
|
|
.\"
|
|
.Dd January 14, 2005
|
|
.Dt J0 3
|
|
.Os
|
|
.Sh NAME
|
|
.Nm j0 ,
|
|
.Nm j0f ,
|
|
.Nm j1 ,
|
|
.Nm j1f ,
|
|
.Nm jn ,
|
|
.Nm jnf ,
|
|
.Nm y0 ,
|
|
.Nm y0f ,
|
|
.Nm y1 ,
|
|
.Nm y1f ,
|
|
.Nm yn ,
|
|
.Nm ynf
|
|
.Nd Bessel functions of first and second kind
|
|
.Sh LIBRARY
|
|
.Lb libm
|
|
.Sh SYNOPSIS
|
|
.In math.h
|
|
.Ft double
|
|
.Fn j0 "double x"
|
|
.Ft float
|
|
.Fn j0f "float x"
|
|
.Ft double
|
|
.Fn j1 "double x"
|
|
.Ft float
|
|
.Fn j1f "float x"
|
|
.Ft double
|
|
.Fn jn "int n" "double x"
|
|
.Ft float
|
|
.Fn jnf "int n" "float x"
|
|
.Ft double
|
|
.Fn y0 "double x"
|
|
.Ft float
|
|
.Fn y0f "float x"
|
|
.Ft double
|
|
.Fn y1 "double x"
|
|
.Ft float
|
|
.Fn y1f "float x"
|
|
.Ft double
|
|
.Fn yn "int n" "double x"
|
|
.Ft float
|
|
.Fn ynf "int n" "float x"
|
|
.Sh DESCRIPTION
|
|
The functions
|
|
.Fn j0 ,
|
|
.Fn j0f ,
|
|
.Fn j1
|
|
and
|
|
.Fn j1f
|
|
compute the
|
|
.Em Bessel function of the first kind of the order
|
|
0 and the
|
|
.Em order
|
|
1, respectively,
|
|
for the
|
|
real value
|
|
.Fa x ;
|
|
the functions
|
|
.Fn jn
|
|
and
|
|
.Fn jnf
|
|
compute the
|
|
.Em Bessel function of the first kind of the integer
|
|
.Em order
|
|
.Fa n
|
|
for the real value
|
|
.Fa x .
|
|
.Pp
|
|
The functions
|
|
.Fn y0 ,
|
|
.Fn y0f ,
|
|
.Fn y1 ,
|
|
and
|
|
.Fn y1f
|
|
compute the linearly independent
|
|
.Em Bessel function of the second kind of the order
|
|
0 and the
|
|
.Em order
|
|
1, respectively,
|
|
for the
|
|
positive
|
|
.Em real
|
|
value
|
|
.Fa x ;
|
|
the functions
|
|
.Fn yn
|
|
and
|
|
.Fn ynf
|
|
compute the
|
|
.Em Bessel function of the second kind for the integer
|
|
.Em order
|
|
.Fa n
|
|
for the positive
|
|
.Em real
|
|
value
|
|
.Fa x .
|
|
.Sh RETURN VALUES
|
|
If these functions are successful,
|
|
the computed value is returned.
|
|
.Sh SEE ALSO
|
|
.Xr math 3
|
|
.Sh HISTORY
|
|
This set of functions
|
|
appeared in
|
|
.At v7 .
|