Integral representations of q-analogues of the Hurwitz zeta function

Masato Wakayama, Yoshinori Yamasaki

Research output: Contribution to journalArticle

10 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 1 2006

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Hurwitz zeta Function
Q-analogue
Integral Representation
Classical Limit
Analytic Continuation
Pole
Integer

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Integral representations of q-analogues of the Hurwitz zeta function. / Wakayama, Masato; Yamasaki, Yoshinori.

In: Monatshefte fur Mathematik, Vol. 149, No. 2, 01.10.2006, p. 141-154.

Research output: Contribution to journalArticle

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