Integral representations of q-analogues of the Hurwitz zeta function

نویسندگان

  • Masato Wakayama
  • Yoshinori Yamasaki
چکیده

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 qanalogue. All the discussion developed here is entirely different from the previous work in [4]. 2000 Mathematics Subject Classification: 11B68, 11M35

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تاریخ انتشار 2008