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**"Riemann zeta function"...generalization..**

Hello my question is if we define the "generalized" Riemann zeta function:

[tex] \zeta(x,s,h)= \sum_{n=0}^{\infty}(x+nh)^{-s} [/tex]

which is equal to the usual "Riemann zeta function" if we set h=1, x=0 ,then my question is if we can extend the definition to include negative values of "s" (using a functional equation or something similar)..:tongue2: :tongue2: