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67<h1>bessel.h File Reference</h1>Definitions of Bessel functions. 
68<a href="#_details">More...</a>
69<p>
70<code>#include &lt;<a class="el" href="vec_8h-source.html">itpp/base/vec.h</a>&gt;</code><br>
71
72<p>
73<a href="bessel_8h-source.html">Go to the source code of this file.</a><table border="0" cellpadding="0" cellspacing="0">
74<tr><td></td></tr>
75<tr><td colspan="2"><br><h2>Functions</h2></td></tr>
76<tr><td class="memItemLeft" nowrap align="right" valign="top">double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__besselfunctions.html#ga25e070e28f322ad205c8251f0dd6e1d">itpp::besselj</a> (int nu, double x)</td></tr>
77
78<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Bessel function of first kind of order <em>nu</em> for <em>nu</em> integer.  <a href="group__besselfunctions.html#ga25e070e28f322ad205c8251f0dd6e1d"></a><br></td></tr>
79<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="g7d19aee09bfd9c7a64fd0a076a2d22b7"></a><!-- doxytag: member="bessel.h::besselj" ref="g7d19aee09bfd9c7a64fd0a076a2d22b7" args="(int nu, const vec &amp;x)" -->
80<a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__besselfunctions.html#g7d19aee09bfd9c7a64fd0a076a2d22b7">itpp::besselj</a> (int nu, const <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> &amp;x)</td></tr>
81
82<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Bessel function of first kind of order <em>nu</em> for <em>nu</em> integer. <br></td></tr>
83<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="ga66dd30e4d556696cddb9236459f43c1"></a><!-- doxytag: member="bessel.h::besselj" ref="ga66dd30e4d556696cddb9236459f43c1" args="(double nu, double x)" -->
84double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__besselfunctions.html#ga66dd30e4d556696cddb9236459f43c1">itpp::besselj</a> (double nu, double x)</td></tr>
85
86<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Bessel function of first kind of order <em>nu</em>. <em>nu</em> is real. <br></td></tr>
87<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="g595f0bad25b9175452ade5eff56d6a68"></a><!-- doxytag: member="bessel.h::besselj" ref="g595f0bad25b9175452ade5eff56d6a68" args="(double nu, const vec &amp;x)" -->
88<a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__besselfunctions.html#g595f0bad25b9175452ade5eff56d6a68">itpp::besselj</a> (double nu, const <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> &amp;x)</td></tr>
89
90<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Bessel function of first kind of order <em>nu</em>. <em>nu</em> is real. <br></td></tr>
91<tr><td class="memItemLeft" nowrap align="right" valign="top">double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__besselfunctions.html#g15832f12203d675afad32e69670130dd">itpp::bessely</a> (int nu, double x)</td></tr>
92
93<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Bessel function of second kind of order <em>nu</em>. <em>nu</em> is integer.  <a href="group__besselfunctions.html#g15832f12203d675afad32e69670130dd"></a><br></td></tr>
94<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="g3ba7923e64d809067429ded731b1fb73"></a><!-- doxytag: member="bessel.h::bessely" ref="g3ba7923e64d809067429ded731b1fb73" args="(int nu, const vec &amp;x)" -->
95<a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__besselfunctions.html#g3ba7923e64d809067429ded731b1fb73">itpp::bessely</a> (int nu, const <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> &amp;x)</td></tr>
96
97<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Bessel function of second kind of order <em>nu</em>. <em>nu</em> is integer. <br></td></tr>
98<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="g7c9b620dab32b456a92dd8e69b9af92e"></a><!-- doxytag: member="bessel.h::bessely" ref="g7c9b620dab32b456a92dd8e69b9af92e" args="(double nu, double x)" -->
99double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__besselfunctions.html#g7c9b620dab32b456a92dd8e69b9af92e">itpp::bessely</a> (double nu, double x)</td></tr>
100
101<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Bessel function of second kind of order <em>nu</em>. <em>nu</em> is real. <br></td></tr>
102<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="g8a42390a681660010bd21eda1c3a497e"></a><!-- doxytag: member="bessel.h::bessely" ref="g8a42390a681660010bd21eda1c3a497e" args="(double nu, const vec &amp;x)" -->
103<a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__besselfunctions.html#g8a42390a681660010bd21eda1c3a497e">itpp::bessely</a> (double nu, const <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> &amp;x)</td></tr>
104
105<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Bessel function of second kind of order <em>nu</em>. <em>nu</em> is real. <br></td></tr>
106<tr><td class="memItemLeft" nowrap align="right" valign="top">double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__besselfunctions.html#g44e844761515d3dccd07ef7be23423cf">itpp::besseli</a> (double nu, double x)</td></tr>
107
108<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Modified Bessel function of first kind of order <em>nu</em>. <em>nu</em> is <em>double</em>. <em>x</em> is <em>double</em>.  <a href="group__besselfunctions.html#g44e844761515d3dccd07ef7be23423cf"></a><br></td></tr>
109<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="g106e55fe4ffff36a29f62991dc18b07d"></a><!-- doxytag: member="bessel.h::besseli" ref="g106e55fe4ffff36a29f62991dc18b07d" args="(double nu, const vec &amp;x)" -->
110<a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__besselfunctions.html#g106e55fe4ffff36a29f62991dc18b07d">itpp::besseli</a> (double nu, const <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> &amp;x)</td></tr>
111
112<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Modified Bessel function of first kind of order <em>nu</em>. <em>nu</em> is <em>double</em>. <em>x</em> is <em>double</em>. <br></td></tr>
113<tr><td class="memItemLeft" nowrap align="right" valign="top">double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__besselfunctions.html#gff9230fd225656cdf47c384cb7dc37de">itpp::besselk</a> (int nu, double x)</td></tr>
114
115<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Modified Bessel function of second kind of order <em>nu</em>. <em>nu</em> is double. <em>x</em> is double.  <a href="group__besselfunctions.html#gff9230fd225656cdf47c384cb7dc37de"></a><br></td></tr>
116<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="g33c2f08f8475febf53e26598f4bc3efc"></a><!-- doxytag: member="bessel.h::besselk" ref="g33c2f08f8475febf53e26598f4bc3efc" args="(int nu, const vec &amp;x)" -->
117<a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__besselfunctions.html#g33c2f08f8475febf53e26598f4bc3efc">itpp::besselk</a> (int nu, const <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> &amp;x)</td></tr>
118
119<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Modified Bessel function of second kind of order <em>nu</em>. <em>nu</em> is double. <em>x</em> is double. <br></td></tr>
120</table>
121<hr><a name="_details"></a><h2>Detailed Description</h2>
122Definitions of Bessel functions.
123<p>
124<dl class="author" compact><dt><b>Author:</b></dt><dd>Tony Ottosson</dd></dl>
125-------------------------------------------------------------------------<p>
126Copyright (C) 1995-2008 (see AUTHORS file for a list of contributors)<p>
127This file is part of IT++ - a C++ library of mathematical, signal processing, speech processing, and communications classes and functions.<p>
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