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Integral representations of q-analogues of the Hurwitz zeta function

Masato Wakayama·Yoshinori Yamasaki
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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 [4]

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Masato Wakayama, Yoshinori Yamasaki. 2005-03-07. Integral representations of q-analogues of the Hurwitz zeta function. https://doi.org/10.1007/s00605-005-0369-1

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