NetBSD/lib/libm/man/j0.3

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.\" Copyright (c) 1985, 1991 Regents of the University of California.
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.\" from: @(#)j0.3 6.7 (Berkeley) 4/19/91
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.\" $Id: j0.3,v 1.7 1996/03/30 01:34:04 jtc Exp $
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.\"
.Dd April 19, 1991
.Dt J0 3
.Os BSD 4
.Sh NAME
.Nm j0 ,
.Nm j1 ,
.Nm jn ,
.Nm y0 ,
.Nm y1 ,
.Nm yn
.Nd bessel functions of first and second kind
.Sh SYNOPSIS
.Fd #include <math.h>
.Ft double
.Fn j0 "double x"
.Ft float
.Fn j0f "float x"
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.Ft double
.Fn j1 "double x"
.Ft float
.Fn j1f "float x"
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.Ft double
.Fn jn "int n" "double x"
.Ft float
.Fn jnf "int n" "float x"
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.Ft double
.Fn y0 "double x"
.Ft float
.Fn y0f "float x"
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.Ft double
.Fn y1 "double x"
.Ft float
.Fn y1f "float x"
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.Ft double
.Fn yn "int n" "double x"
.Ft float
.Fn ynf "int n" "float x"
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.Sh DESCRIPTION
The functions
.Fn j0 ,
.Fn j0f ,
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.Fn j1
and
.Fn j1f
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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
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.Fn jn
and
.Fn jnf
compute the
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.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 ,
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.Fn y1
and
.Fn y1f
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compute the linearly independent
.Em Bessel function of the second kind of the order
0 and the
.Em order
1, respectively,
for the
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positive
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.Em integer
value
.Fa x
(expressed as a double);
the functions
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.Fn yn
and
.Fn ynf
compute the
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.Em Bessel function of the second kind for the integer order
.Fa n
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for the positive
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.Em integer
value
.Fa x
(expressed as a double).
.Sh RETURN VALUES
If these functions are successful,
the computed value is returned. On the
.Tn VAX
and
.Tn Tahoe
architectures,
a negative
.Fa x
value
results in an error; the global
variable
.Va errno
is set to
.Er EDOM
and a reserve operand fault is generated.
.Sh SEE ALSO
.Xr math 3 ,
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.Xr matherr 3
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.Sh HISTORY
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This set of functions
appeared in
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.At v7 .