1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
|
<html lang="en">
<head>
<title>Irregular Cylindrical Bessel Functions - GNU Scientific Library -- Reference Manual</title>
<meta http-equiv="Content-Type" content="text/html">
<meta name="description" content="GNU Scientific Library -- Reference Manual">
<meta name="generator" content="makeinfo 4.11">
<link title="Top" rel="start" href="index.html#Top">
<link rel="up" href="Bessel-Functions.html" title="Bessel Functions">
<link rel="prev" href="Regular-Cylindrical-Bessel-Functions.html" title="Regular Cylindrical Bessel Functions">
<link rel="next" href="Regular-Modified-Cylindrical-Bessel-Functions.html" title="Regular Modified Cylindrical Bessel Functions">
<link href="http://www.gnu.org/software/texinfo/" rel="generator-home" title="Texinfo Homepage">
<!--
Copyright (C) 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010 The GSL Team.
Permission is granted to copy, distribute and/or modify this document
under the terms of the GNU Free Documentation License, Version 1.3 or
any later version published by the Free Software Foundation; with the
Invariant Sections being ``GNU General Public License'' and ``Free Software
Needs Free Documentation'', the Front-Cover text being ``A GNU Manual'',
and with the Back-Cover Text being (a) (see below). A copy of the
license is included in the section entitled ``GNU Free Documentation
License''.
(a) The Back-Cover Text is: ``You have the freedom to copy and modify this
GNU Manual.''-->
<meta http-equiv="Content-Style-Type" content="text/css">
<style type="text/css"><!--
pre.display { font-family:inherit }
pre.format { font-family:inherit }
pre.smalldisplay { font-family:inherit; font-size:smaller }
pre.smallformat { font-family:inherit; font-size:smaller }
pre.smallexample { font-size:smaller }
pre.smalllisp { font-size:smaller }
span.sc { font-variant:small-caps }
span.roman { font-family:serif; font-weight:normal; }
span.sansserif { font-family:sans-serif; font-weight:normal; }
--></style>
</head>
<body>
<div class="node">
<p>
<a name="Irregular-Cylindrical-Bessel-Functions"></a>
Next: <a rel="next" accesskey="n" href="Regular-Modified-Cylindrical-Bessel-Functions.html">Regular Modified Cylindrical Bessel Functions</a>,
Previous: <a rel="previous" accesskey="p" href="Regular-Cylindrical-Bessel-Functions.html">Regular Cylindrical Bessel Functions</a>,
Up: <a rel="up" accesskey="u" href="Bessel-Functions.html">Bessel Functions</a>
<hr>
</div>
<h4 class="subsection">7.5.2 Irregular Cylindrical Bessel Functions</h4>
<p><a name="index-Irregular-Cylindrical-Bessel-Functions-291"></a><a name="index-Y_0028x_0029_002c-Bessel-Functions-292"></a>
<div class="defun">
— Function: double <b>gsl_sf_bessel_Y0</b> (<var>double x</var>)<var><a name="index-gsl_005fsf_005fbessel_005fY0-293"></a></var><br>
— Function: int <b>gsl_sf_bessel_Y0_e</b> (<var>double x, gsl_sf_result * result</var>)<var><a name="index-gsl_005fsf_005fbessel_005fY0_005fe-294"></a></var><br>
<blockquote><p>These routines compute the irregular cylindrical Bessel function of zeroth
order, Y_0(x), for x>0.
<!-- Exceptional Return Values: GSL_EDOM, GSL_EUNDRFLW -->
</p></blockquote></div>
<div class="defun">
— Function: double <b>gsl_sf_bessel_Y1</b> (<var>double x</var>)<var><a name="index-gsl_005fsf_005fbessel_005fY1-295"></a></var><br>
— Function: int <b>gsl_sf_bessel_Y1_e</b> (<var>double x, gsl_sf_result * result</var>)<var><a name="index-gsl_005fsf_005fbessel_005fY1_005fe-296"></a></var><br>
<blockquote><p>These routines compute the irregular cylindrical Bessel function of first
order, Y_1(x), for x>0.
<!-- Exceptional Return Values: GSL_EDOM, GSL_EOVRFLW, GSL_EUNDRFLW -->
</p></blockquote></div>
<div class="defun">
— Function: double <b>gsl_sf_bessel_Yn</b> (<var>int n, double x</var>)<var><a name="index-gsl_005fsf_005fbessel_005fYn-297"></a></var><br>
— Function: int <b>gsl_sf_bessel_Yn_e</b> (<var>int n, double x, gsl_sf_result * result</var>)<var><a name="index-gsl_005fsf_005fbessel_005fYn_005fe-298"></a></var><br>
<blockquote><p>These routines compute the irregular cylindrical Bessel function of
order <var>n</var>, Y_n(x), for x>0.
<!-- Exceptional Return Values: GSL_EDOM, GSL_EOVRFLW, GSL_EUNDRFLW -->
</p></blockquote></div>
<div class="defun">
— Function: int <b>gsl_sf_bessel_Yn_array</b> (<var>int nmin, int nmax, double x, double result_array</var>[])<var><a name="index-gsl_005fsf_005fbessel_005fYn_005farray-299"></a></var><br>
<blockquote><p>This routine computes the values of the irregular cylindrical Bessel
functions Y_n(x) for n from <var>nmin</var> to <var>nmax</var>
inclusive, storing the results in the array <var>result_array</var>. The
domain of the function is x>0. The values are computed using
recurrence relations for efficiency, and therefore may differ slightly
from the exact values.
<!-- Exceptional Return Values: GSL_EDOM, GSL_EOVRFLW, GSL_EUNDRFLW -->
</p></blockquote></div>
<hr>The GNU Scientific Library - a free numerical library licensed under the GNU GPL<br>Back to the <a href="/software/gsl/">GNU Scientific Library Homepage</a></body></html>
|
