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VOL. 49 | 2007 Integral representations of $q$-analogues of the Barnes multiple zeta functions
Yoshinori Yamasaki

Editor(s) Shigeki Akiyama, Kohji Matsumoto, Leo Murata, Hiroshi Sugita

Abstract

Integral representations of $q$-analogues of the Barnes multiple zeta functions are studied. The integral representation provides a meromorphic continuation of the $q$-analogue to the whole plane and describes its poles and special values at non-positive integers. Moreover, for any weight, employing the integral representation, we show that the $q$-analogue converges to the Barnes multiple zeta function when $q \uparrow 1$ for all complex numbers.

Information

Published: 1 January 2007
First available in Project Euclid: 27 January 2019

zbMATH: 1219.11138
MathSciNet: MR2405619

Digital Object Identifier: 10.2969/aspm/04910545

Subjects:
Primary: 11M41
Secondary: 11B68

Rights: Copyright © 2007 Mathematical Society of Japan

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