\" Copyright (c) 1985, 1991 Regents of the University of California.
\" All rights reserved.
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\" modification, are permitted provided that the following conditions
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\" 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
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\" 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 .
