Series Representation
A convergent series representation defined for q > −1 and any complex s ≠ 1 was given by Helmut Hasse in 1930:
This series converges uniformly on compact subsets of the s-plane to an entire function. The inner sum may be understood to be the nth forward difference of ; that is,
where Δ is the forward difference operator. Thus, one may write
Read more about this topic: Hurwitz Zeta Function
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