Bulletin of the
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Bull. Korean Math. Soc. 2013; 50(2): 659-665

Printed March 31, 2013

https://doi.org/10.4134/BKMS.2013.50.2.659

Copyright © The Korean Mathematical Society.

A note on the twisted Lerch type Euler zeta functions

Yuan He and Wenpeng Zhang

Kunming University of Science and Technology, Northwest University

Abstract

In this note, the $q$-extension of the twisted Lerch Euler zeta functions considered by Jang [Bull. Korean Math. Soc. {\bf 47} (2010), no. 6, 1181--1188] is further investigated, and the generalized multiplication theorem for the $q$-extension of the twisted Lerch Euler zeta functions is given. As applications, some well-known results in the references are deduced as special cases.

Keywords: $q$-Euler number and polynomials, $q$-Euler zeta functions, Lerch type $q$-Euler zeta functions, $q$-analogue

MSC numbers: 11B68, 11S40, 05A19

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