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<a name="Hurwitz-Zeta-Function"></a>
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Next: <a href="Eta-Function.html#Eta-Function" accesskey="n" rel="next">Eta Function</a>, Previous: <a href="Riemann-Zeta-Function-Minus-One.html#Riemann-Zeta-Function-Minus-One" accesskey="p" rel="previous">Riemann Zeta Function Minus One</a>, Up: <a href="Zeta-Functions.html#Zeta-Functions" accesskey="u" rel="up">Zeta Functions</a> &nbsp; [<a href="Function-Index.html#Function-Index" title="Index" rel="index">Index</a>]</p>
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<a name="Hurwitz-Zeta-Function-1"></a>
<h4 class="subsection">7.32.3 Hurwitz Zeta Function</h4>
<a name="index-Hurwitz-Zeta-Function"></a>

<p>The Hurwitz zeta function is defined by
<em>\zeta(s,q) = \sum_0^\infty (k+q)^{-s}</em>.
</p>
<dl>
<dt><a name="index-gsl_005fsf_005fhzeta"></a>Function: <em>double</em> <strong>gsl_sf_hzeta</strong> <em>(double <var>s</var>, double <var>q</var>)</em></dt>
<dt><a name="index-gsl_005fsf_005fhzeta_005fe"></a>Function: <em>int</em> <strong>gsl_sf_hzeta_e</strong> <em>(double <var>s</var>, double <var>q</var>, gsl_sf_result * <var>result</var>)</em></dt>
<dd><p>These routines compute the Hurwitz zeta function <em>\zeta(s,q)</em> for
<em>s &gt; 1</em>, <em>q &gt; 0</em>.
</p></dd></dl>





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