Abstract.
Two integral representations of q-analogues of the Hurwitz zeta function are established. Each integral representation allows us to obtain an analytic continuation including also a full description of poles and special values at non-positive integers of the q-analogue of the Hurwitz zeta function, and to study the classical limit of this q-analogue. All the discussion developed here is entirely different from the previous work in [5].
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Wakayama, M., Yamasaki, Y. Integral Representations of q-analogues of the Hurwitz Zeta Function. Mh Math 149, 141–154 (2006). https://doi.org/10.1007/s00605-005-0369-1
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DOI: https://doi.org/10.1007/s00605-005-0369-1