Integral representations of q-analogues of the Hurwitz zeta function

Masato Wakayama; Yoshinori Yamasaki

doi:10.1007/s00605-005-0369-1

Integral representations of q-analogues of the Hurwitz zeta function

Masato Wakayama, Yoshinori Yamasaki

Exective

Research output: Contribution to journal › Article

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 language	English
Pages (from-to)	141-154
Number of pages	14
Journal	Monatshefte fur Mathematik
Volume	149
Issue number	2
DOIs	https://doi.org/10.1007/s00605-005-0369-1
Publication status	Published - Oct 1 2006

Fingerprint

Hurwitz zeta Function

Q-analogue

Integral Representation

Classical Limit

Analytic Continuation

Pole

Integer

All Science Journal Classification (ASJC) codes

Mathematics(all)

Cite this

Wakayama, M., & Yamasaki, Y. (2006). Integral representations of q-analogues of the Hurwitz zeta function. Monatshefte fur Mathematik, 149(2), 141-154. https://doi.org/10.1007/s00605-005-0369-1

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 journal › Article

Wakayama, M & Yamasaki, Y 2006, 'Integral representations of q-analogues of the Hurwitz zeta function', Monatshefte fur Mathematik, vol. 149, no. 2, pp. 141-154. https://doi.org/10.1007/s00605-005-0369-1

Wakayama M, Yamasaki Y. Integral representations of q-analogues of the Hurwitz zeta function. Monatshefte fur Mathematik. 2006 Oct 1;149(2):141-154. https://doi.org/10.1007/s00605-005-0369-1

Wakayama, Masato ; Yamasaki, Yoshinori. / Integral representations of q-analogues of the Hurwitz zeta function. In: Monatshefte fur Mathematik. 2006 ; Vol. 149, No. 2. pp. 141-154.

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10.1007/s00605-005-0369-1