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<title>GNU Scientific Library &ndash; Reference Manual: Mathieu Function Characteristic Values</title>

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<a name="Mathieu-Function-Characteristic-Values"></a>
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<p>
Next: <a href="Angular-Mathieu-Functions.html#Angular-Mathieu-Functions" accesskey="n" rel="next">Angular Mathieu Functions</a>, Previous: <a href="Mathieu-Function-Workspace.html#Mathieu-Function-Workspace" accesskey="p" rel="previous">Mathieu Function Workspace</a>, Up: <a href="Mathieu-Functions.html#Mathieu-Functions" accesskey="u" rel="up">Mathieu Functions</a> &nbsp; [<a href="Function-Index.html#Function-Index" title="Index" rel="index">Index</a>]</p>
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<hr>
<a name="Mathieu-Function-Characteristic-Values-1"></a>
<h4 class="subsection">7.26.2 Mathieu Function Characteristic Values</h4>
<a name="index-Mathieu-Function-Characteristic-Values"></a>

<dl>
<dt><a name="index-gsl_005fsf_005fmathieu_005fa"></a>Function: <em>int</em> <strong>gsl_sf_mathieu_a</strong> <em>(int <var>n</var>, double <var>q</var>)</em></dt>
<dt><a name="index-gsl_005fsf_005fmathieu_005fa_005fe"></a>Function: <em>int</em> <strong>gsl_sf_mathieu_a_e</strong> <em>(int <var>n</var>, double <var>q</var>, gsl_sf_result * <var>result</var>)</em></dt>
<dt><a name="index-gsl_005fsf_005fmathieu_005fb"></a>Function: <em>int</em> <strong>gsl_sf_mathieu_b</strong> <em>(int <var>n</var>, double <var>q</var>)</em></dt>
<dt><a name="index-gsl_005fsf_005fmathieu_005fb_005fe"></a>Function: <em>int</em> <strong>gsl_sf_mathieu_b_e</strong> <em>(int <var>n</var>, double <var>q</var>, gsl_sf_result * <var>result</var>)</em></dt>
<dd><p>These routines compute the characteristic values <em>a_n(q)</em>,
<em>b_n(q)</em> of the Mathieu functions <em>ce_n(q,x)</em> and
<em>se_n(q,x)</em>, respectively.
</p></dd></dl>

<dl>
<dt><a name="index-gsl_005fsf_005fmathieu_005fa_005farray"></a>Function: <em>int</em> <strong>gsl_sf_mathieu_a_array</strong> <em>(int <var>order_min</var>, int <var>order_max</var>, double <var>q</var>, gsl_sf_mathieu_workspace * <var>work</var>, double <var>result_array</var>[])</em></dt>
<dt><a name="index-gsl_005fsf_005fmathieu_005fb_005farray"></a>Function: <em>int</em> <strong>gsl_sf_mathieu_b_array</strong> <em>(int <var>order_min</var>, int <var>order_max</var>, double <var>q</var>, gsl_sf_mathieu_workspace * <var>work</var>, double <var>result_array</var>[])</em></dt>
<dd><p>These routines compute a series of Mathieu characteristic values
<em>a_n(q)</em>, <em>b_n(q)</em> for <em>n</em> from <var>order_min</var> to
<var>order_max</var> inclusive, storing the results in the array <var>result_array</var>.
</p></dd></dl>




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