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<title>Hurwitz Zeta Function - GNU Scientific Library -- Reference Manual</title>
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<h4 class="subsection">7.32.3 Hurwitz Zeta Function</h4>
<p>The Hurwitz zeta function is defined by
<!-- {$\zeta(s,q) = \sum_0^\infty (k+q)^{-s}$} -->
\zeta(s,q) = \sum_0^\infty (k+q)^{-s}.
<div class="defun">
— Function: double <b>gsl_sf_hzeta</b> (<var>double s, double q</var>)<var><a name="index-gsl_005fsf_005fhzeta-835"></a></var><br>
— Function: int <b>gsl_sf_hzeta_e</b> (<var>double s, double q, gsl_sf_result * result</var>)<var><a name="index-gsl_005fsf_005fhzeta_005fe-836"></a></var><br>
<blockquote><p>These routines compute the Hurwitz zeta function \zeta(s,q) for
s > 1, q > 0.
<!-- Domain: s > 1.0, q > 0.0 -->
<!-- Exceptional Return Values: GSL_EDOM, GSL_EUNDRFLW, GSL_EOVRFLW -->
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