154 lines
3.4 KiB
Groff
154 lines
3.4 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. 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
|
||
|
.\" $NetBSD: j0.3,v 1.16 2003/08/07 16:44:48 agc Exp $
|
||
|
.\"
|
||
|
.Dd April 19, 1991
|
||
|
.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 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 integer
|
||
|
value
|
||
|
.Fa x
|
||
|
(expressed as a double);
|
||
|
the functions
|
||
|
.Fn yn
|
||
|
and
|
||
|
.Fn ynf
|
||
|
compute the
|
||
|
.Em Bessel function of the second kind for the integer order
|
||
|
.Fa n
|
||
|
for the positive
|
||
|
.Em integer
|
||
|
value
|
||
|
.Fa x
|
||
|
(expressed as a double).
|
||
|
.Sh RETURN VALUES
|
||
|
If these functions are successful,
|
||
|
the computed value is returned, otherwise
|
||
|
the global
|
||
|
variable
|
||
|
.Va errno
|
||
|
is set to
|
||
|
.Er EDOM
|
||
|
and a reserve operand fault is generated.
|
||
|
.\" On the
|
||
|
.\" .Tn VAX
|
||
|
.\" and
|
||
|
.\" .Tn Tahoe
|
||
|
.\" architectures, a negative
|
||
|
.\" .Fa x
|
||
|
.\" value
|
||
|
.\" results in an error.
|
||
|
.Sh SEE ALSO
|
||
|
.Xr math 3
|
||
|
.\" .Xr matherr 3
|
||
|
.Sh HISTORY
|
||
|
This set of functions
|
||
|
appeared in
|
||
|
.At v7 .
|