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<title>GNU Scientific Library – Reference Manual: Radial Mathieu Functions</title>
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<a name="Radial-Mathieu-Functions"></a>
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<p>
Previous: <a href="Angular-Mathieu-Functions.html#Angular-Mathieu-Functions" accesskey="p" rel="previous">Angular Mathieu Functions</a>, Up: <a href="Mathieu-Functions.html#Mathieu-Functions" accesskey="u" rel="up">Mathieu Functions</a> [<a href="Function-Index.html#Function-Index" title="Index" rel="index">Index</a>]</p>
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<a name="Radial-Mathieu-Functions-1"></a>
<h4 class="subsection">7.26.4 Radial Mathieu Functions</h4>
<a name="index-Radial-Mathieu-Functions"></a>
<dl>
<dt><a name="index-gsl_005fsf_005fmathieu_005fMc"></a>Function: <em>int</em> <strong>gsl_sf_mathieu_Mc</strong> <em>(int <var>j</var>, int <var>n</var>, double <var>q</var>, double <var>x</var>, gsl_sf_result * <var>result</var>)</em></dt>
<dt><a name="index-gsl_005fsf_005fmathieu_005fMs"></a>Function: <em>int</em> <strong>gsl_sf_mathieu_Ms</strong> <em>(int <var>j</var>, int <var>n</var>, double <var>q</var>, double <var>x</var>, gsl_sf_result * <var>result</var>)</em></dt>
<dd><p>These routines compute the radial <var>j</var>-th kind Mathieu functions
<em>Mc_n^{(j)}(q,x)</em> and
<em>Ms_n^{(j)}(q,x)</em> of order <var>n</var>.
</p>
<p>The allowed values of <var>j</var> are 1 and 2.
The functions for <em>j = 3,4</em> can be computed as
<em>M_n^{(3)} = M_n^{(1)} + iM_n^{(2)}</em> and
<em>M_n^{(4)} = M_n^{(1)} - iM_n^{(2)}</em>,
where
<em>M_n^{(j)} = Mc_n^{(j)}</em> or
<em>Ms_n^{(j)}</em>.
</p></dd></dl>
<dl>
<dt><a name="index-gsl_005fsf_005fmathieu_005fMc_005farray"></a>Function: <em>int</em> <strong>gsl_sf_mathieu_Mc_array</strong> <em>(int <var>j</var>, int <var>nmin</var>, int <var>nmax</var>, double <var>q</var>, double <var>x</var>, gsl_sf_mathieu_workspace * <var>work</var>, double <var>result_array</var>[])</em></dt>
<dt><a name="index-gsl_005fsf_005fmathieu_005fMs_005farray"></a>Function: <em>int</em> <strong>gsl_sf_mathieu_Ms_array</strong> <em>(int <var>j</var>, int <var>nmin</var>, int <var>nmax</var>, double <var>q</var>, double <var>x</var>, gsl_sf_mathieu_workspace * <var>work</var>, double <var>result_array</var>[])</em></dt>
<dd><p>These routines compute a series of the radial Mathieu functions of
kind <var>j</var>, with order from <var>nmin</var> to <var>nmax</var> inclusive, storing the
results in the array <var>result_array</var>.
</p></dd></dl>
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