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

Trustee(Vice President)

Research output: Contribution to journal › Article › peer-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 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 2006

All Science Journal Classification (ASJC) codes

Mathematics(all)

Access to Document

10.1007/s00605-005-0369-1

Fingerprint Dive into the research topics of 'Integral representations of q-analogues of the Hurwitz zeta function'. Together they form a unique fingerprint.

Cite this

@article{0a12fc1518c948199631500ed883c860,

title = "Integral representations of q-analogues of the Hurwitz zeta function",

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].",

author = "Masato Wakayama and Yoshinori Yamasaki",

year = "2006",

month = oct,

doi = "10.1007/s00605-005-0369-1",

language = "English",

volume = "149",

pages = "141--154",

journal = "Monatshefte fur Mathematik",

issn = "0026-9255",

publisher = "Springer Wien",

number = "2",

}

TY - JOUR

T1 - Integral representations of q-analogues of the Hurwitz zeta function

AU - Wakayama, Masato

AU - Yamasaki, Yoshinori

PY - 2006/10

Y1 - 2006/10

N2 - 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].

AB - 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].

UR - http://www.scopus.com/inward/record.url?scp=33749028492&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33749028492&partnerID=8YFLogxK

U2 - 10.1007/s00605-005-0369-1

DO - 10.1007/s00605-005-0369-1

M3 - Article

AN - SCOPUS:33749028492

VL - 149

SP - 141

EP - 154

JO - Monatshefte fur Mathematik

JF - Monatshefte fur Mathematik

SN - 0026-9255

IS - 2

ER -