Integral representations of q-analogues of the Hurwitz zeta function

Masato Wakayama, Yoshinori Yamasaki

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

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].

Original languageEnglish
Pages (from-to)141-154
Number of pages14
JournalMonatshefte fur Mathematik
Volume149
Issue number2
DOIs
Publication statusPublished - Oct 2006

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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