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122 lines
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122 lines
4.5 KiB
HTML
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Next: <a href="cbrt.html#cbrt" accesskey="n" rel="next">cbrt</a>, Previous: <a href="atanh.html#atanh" accesskey="p" rel="prev">atanh</a>, Up: <a href="Math.html#Math" accesskey="u" rel="up">Math</a> [<a href="Document-Index.html#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="Document-Index.html#Document-Index" title="Index" rel="index">Index</a>]</p>
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<a name="jN_002c-jNf_002c-yN_002c-yNf_002d_002d_002dBessel-functions"></a>
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<h3 class="section">1.10 <code>jN</code>, <code>jNf</code>, <code>yN</code>, <code>yNf</code>—Bessel functions</h3>
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<a name="index-j0"></a>
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<a name="index-j0f"></a>
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<a name="index-j1"></a>
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<a name="index-j1f"></a>
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<a name="index-jn"></a>
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<a name="index-jnf"></a>
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<a name="index-y0"></a>
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<a name="index-y0f"></a>
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<a name="index-y1"></a>
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<a name="index-y1f"></a>
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<a name="index-yn"></a>
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<a name="index-ynf"></a>
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<p><strong>Synopsis</strong>
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</p><div class="example">
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<pre class="example">#include <math.h>
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double j0(double <var>x</var>);
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float j0f(float <var>x</var>);
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double j1(double <var>x</var>);
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float j1f(float <var>x</var>);
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double jn(int <var>n</var>, double <var>x</var>);
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float jnf(int <var>n</var>, float <var>x</var>);
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double y0(double <var>x</var>);
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float y0f(float <var>x</var>);
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double y1(double <var>x</var>);
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float y1f(float <var>x</var>);
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double yn(int <var>n</var>, double <var>x</var>);
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float ynf(int <var>n</var>, float <var>x</var>);
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</pre></div>
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<p><strong>Description</strong><br>
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The Bessel functions are a family of functions that solve the
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differential equation
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</p><div class="smallexample">
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<pre class="smallexample"> 2 2 2
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x y'' + xy' + (x - p )y = 0
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</pre></div>
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<p>These functions have many applications in engineering and physics.
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</p>
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<p><code>jn</code> calculates the Bessel function of the first kind of order
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<var>n</var>. <code>j0</code> and <code>j1</code> are special cases for order 0 and order
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1 respectively.
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</p>
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<p>Similarly, <code>yn</code> calculates the Bessel function of the second kind of
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order <var>n</var>, and <code>y0</code> and <code>y1</code> are special cases for order 0 and
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1.
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</p>
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<p><code>jnf</code>, <code>j0f</code>, <code>j1f</code>, <code>ynf</code>, <code>y0f</code>, and <code>y1f</code> perform the
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same calculations, but on <code>float</code> rather than <code>double</code> values.
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</p>
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<br>
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<p><strong>Returns</strong><br>
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The value of each Bessel function at <var>x</var> is returned.
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</p>
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<br>
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<p><strong>Portability</strong><br>
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None of the Bessel functions are in ANSI C.
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</p>
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<br>
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