Definition:Hurwitz Zeta Function

Definition
The Hurwitz zeta function is a generalisation of the Riemann zeta function. It is defined for $\operatorname{Re} \left({s}\right) > 1$ and $\operatorname{Re} \left({q}\right) > 0$, by:


 * $\displaystyle \zeta \left({s, q}\right) = \sum_{n \mathop = 0}^\infty \frac 1 {\left({n + q}\right)^s}$