Integral representations of q-analogues of the Hurwitz zeta function

Details Integral representations of q-analogues of the Hurwitz zeta function Integral representations of q-analogues of the Hurwitz zeta function

2005-03-07

arxiv.org/abs/math/0503120v2

Monatsh. Math., 149 (2006) No. 2, 141-154.

Mathematics

Number Theory

14 pages

Scientific paper

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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