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32.\" from: @(#)j0.3 6.7 (Berkeley) 4/19/91
33.\" $FreeBSD: src/lib/msun/man/j0.3,v 1.13 2005/01/14 23:28:28 das Exp $
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35.Dd January 14, 2005
36.Dt J0 3
37.Os
38.Sh NAME
39.Nm j0 ,
40.Nm j0f ,
41.Nm j1 ,
42.Nm j1f ,
43.Nm jn ,
44.Nm jnf ,
45.Nm y0 ,
46.Nm y0f ,
47.Nm y1 ,
48.Nm y1f ,
49.Nm yn ,
50.Nm ynf
51.Nd Bessel functions of first and second kind
52.Sh LIBRARY
53.Lb libm
54.Sh SYNOPSIS
55.In math.h
56.Ft double
57.Fn j0 "double x"
58.Ft float
59.Fn j0f "float x"
60.Ft double
61.Fn j1 "double x"
62.Ft float
63.Fn j1f "float x"
64.Ft double
65.Fn jn "int n" "double x"
66.Ft float
67.Fn jnf "int n" "float x"
68.Ft double
69.Fn y0 "double x"
70.Ft float
71.Fn y0f "float x"
72.Ft double
73.Fn y1 "double x"
74.Ft float
75.Fn y1f "float x"
76.Ft double
77.Fn yn "int n" "double x"
78.Ft float
79.Fn ynf "int n" "float x"
80.Sh DESCRIPTION
81The functions
82.Fn j0 ,
83.Fn j0f ,
84.Fn j1
85and
86.Fn j1f
87compute the
88.Em Bessel function of the first kind of the order
890 and the
90.Em order
911, respectively,
92for the
93real value
94.Fa x ;
95the functions
96.Fn jn
97and
98.Fn jnf
99compute the
100.Em Bessel function of the first kind of the integer
101.Em order
102.Fa n
103for the real value
104.Fa x .
105.Pp
106The functions
107.Fn y0 ,
108.Fn y0f ,
109.Fn y1 ,
110and
111.Fn y1f
112compute the linearly independent
113.Em Bessel function of the second kind of the order
1140 and the
115.Em order
1161, respectively,
117for the
118positive
119.Em real
120value
121.Fa x ;
122the functions
123.Fn yn
124and
125.Fn ynf
126compute the
127.Em Bessel function of the second kind for the integer
128.Em order
129.Fa n
130for the positive
131.Em real
132value
133.Fa x .
134.Sh RETURN VALUES
135If these functions are successful,
136the computed value is returned.
137.Sh SEE ALSO
138.Xr math 3
139.Sh HISTORY
140This set of functions
141appeared in
142.At v7 .