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<title>Radial Mathieu Functions - GNU Scientific Library -- Reference Manual</title>
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<a name="Radial-Mathieu-Functions"></a>
Previous: <a rel="previous" accesskey="p" href="Angular-Mathieu-Functions.html">Angular Mathieu Functions</a>,
Up: <a rel="up" accesskey="u" href="Mathieu-Functions.html">Mathieu Functions</a>
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<h4 class="subsection">7.26.4 Radial Mathieu Functions</h4>
<p><a name="index-Radial-Mathieu-Functions-751"></a>
<div class="defun">
— Function: int <b>gsl_sf_mathieu_Mc</b> (<var>int j, int n, double q, double x, gsl_sf_result *result</var>)<var><a name="index-gsl_005fsf_005fmathieu_005fMc-752"></a></var><br>
— Function: int <b>gsl_sf_mathieu_Ms</b> (<var>int j, int n, double q, double x, gsl_sf_result *result</var>)<var><a name="index-gsl_005fsf_005fmathieu_005fMs-753"></a></var><br>
<blockquote><p>These routines compute the radial <var>j</var>-th kind Mathieu functions
<!-- {$Mc_n^{(j)}(q,x)$} -->
Mc_n^{(j)}(q,x) and
<!-- {$Ms_n^{(j)}(q,x)$} -->
Ms_n^{(j)}(q,x) of order <var>n</var>.
<p>The allowed values of <var>j</var> are 1 and 2.
The functions for j = 3,4 can be computed as
<!-- {$M_n^{(3)} = M_n^{(1)} + iM_n^{(2)}$} -->
M_n^{(3)} = M_n^{(1)} + iM_n^{(2)} and
<!-- {$M_n^{(4)} = M_n^{(1)} - iM_n^{(2)}$} -->
M_n^{(4)} = M_n^{(1)} - iM_n^{(2)},
where
<!-- {$M_n^{(j)} = Mc_n^{(j)}$} -->
M_n^{(j)} = Mc_n^{(j)} or
<!-- {$Ms_n^{(j)}$} -->
Ms_n^{(j)}.
</p></blockquote></div>
<div class="defun">
— Function: int <b>gsl_sf_mathieu_Mc_array</b> (<var>int j, int nmin, int nmax, double q, double x, gsl_sf_mathieu_workspace *work, double result_array</var>[])<var><a name="index-gsl_005fsf_005fmathieu_005fMc_005farray-754"></a></var><br>
— Function: int <b>gsl_sf_mathieu_Ms_array</b> (<var>int j, int nmin, int nmax, double q, double x, gsl_sf_mathieu_workspace *work, double result_array</var>[])<var><a name="index-gsl_005fsf_005fmathieu_005fMs_005farray-755"></a></var><br>
<blockquote><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></blockquote></div>
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