j0.3 (ee7093a6400feef3d8a99579f28577817d70f6ad) j0.3 (345241c5e055c870eadf4784840a1e2f741a8882)
1.\" Copyright (c) 1985, 1991 Regents of the University of California.
2.\" All rights reserved.
3.\"
4.\" Redistribution and use in source and binary forms, with or without
5.\" modification, are permitted provided that the following conditions
6.\" are met:
7.\" 1. Redistributions of source code must retain the above copyright
8.\" notice, this list of conditions and the following disclaimer.

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23.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
24.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
25.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
26.\" SUCH DAMAGE.
27.\"
28.\" from: @(#)j0.3 6.7 (Berkeley) 4/19/91
29.\" $FreeBSD$
30.\"
1.\" Copyright (c) 1985, 1991 Regents of the University of California.
2.\" All rights reserved.
3.\"
4.\" Redistribution and use in source and binary forms, with or without
5.\" modification, are permitted provided that the following conditions
6.\" are met:
7.\" 1. Redistributions of source code must retain the above copyright
8.\" notice, this list of conditions and the following disclaimer.

--- 14 unchanged lines hidden (view full) ---

23.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
24.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
25.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
26.\" SUCH DAMAGE.
27.\"
28.\" from: @(#)j0.3 6.7 (Berkeley) 4/19/91
29.\" $FreeBSD$
30.\"
31.Dd January 14, 2005
31.Dd February 18, 2008
32.Dt J0 3
33.Os
34.Sh NAME
35.Nm j0 ,
36.Nm j0f ,
37.Nm j1 ,
38.Nm j1f ,
39.Nm jn ,

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123.Em Bessel function of the second kind for the integer
124.Em order
125.Fa n
126for the positive
127.Em real
128value
129.Fa x .
130.Sh RETURN VALUES
32.Dt J0 3
33.Os
34.Sh NAME
35.Nm j0 ,
36.Nm j0f ,
37.Nm j1 ,
38.Nm j1f ,
39.Nm jn ,

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123.Em Bessel function of the second kind for the integer
124.Em order
125.Fa n
126for the positive
127.Em real
128value
129.Fa x .
130.Sh RETURN VALUES
131If these functions are successful,
132the computed value is returned.
131These routines return values of their respective Bessel functions.
132For large positive inputs, they may underflow and return \*(Pm0.
133.Pp
134The following applies to
135.Fn y0 ,
136.Fn y0f ,
137.Fn y1 ,
138.Fn y1f ,
139.Fn yn ,
140and
141.Fn ynf .
142If
143.Fa x
144is negative, these routines will generate an invalid exception and
145return \*(Na.
146If
147.Fa x
148is 0 or a sufficiently small positive number, these routines
149will generate an overflow exception and return -\*(If.
133.Sh SEE ALSO
134.Xr math 3
150.Sh SEE ALSO
151.Xr math 3
152.Sh STANDARDS
153The
154.Fn j0 ,
155.Fn j1 ,
156.Fn jn ,
157.Fn y0 ,
158.Fn y1 ,
159and
160.Fn yn
161functions conform to
162.St -p1003.1-2001 .
163The
164.Ft float
165versions are extensions.
135.Sh HISTORY
136This set of functions
137appeared in
138.At v7 .
166.Sh HISTORY
167This set of functions
168appeared in
169.At v7 .