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 | |
Publication status | Published - Oct 1 2006 |
Fingerprint
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 journal › Article
}
TY - JOUR
T1 - Integral representations of q-analogues of the Hurwitz zeta function
AU - Wakayama, Masato
AU - Yamasaki, Yoshinori
PY - 2006/10/1
Y1 - 2006/10/1
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 -