Abstract and Applied Analysis
Volume 2008 (2008), Article ID 304539, 13 pages
doi:10.1155/2008/304539
Research Article

Multivariate p-Adic Fermionic q-Integral on ℤp and Related Multiple Zeta-Type Functions

Min-Soo Kim,1 Taekyun Kim,2 and Jin-Woo Son1

1Department of Mathematics, Kyungnam University, Masan 631-701, South Korea
2Division of General Education-Mathematics, Kwangwoon University, Seoul 139-701, South Korea

Received 14 April 2008; Accepted 27 May 2008

Academic Editor: Ferhan Atici

Copyright © 2008 Min-Soo Kim et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

In 2008, Jang et al. constructed generating functions of the multiple twisted Carlitz's type q-Bernoulli polynomials and obtained the distribution relation for them. They also raised the following problem: “are there analytic multiple twisted Carlitz's type q-zeta functions which interpolate multiple twisted Carlitz's type q-Euler (Bernoulli) polynomials?” The aim of this paper is to give a partial answer to this problem. Furthermore we derive some interesting identities related to twisted q-extension of Euler polynomials and multiple twisted Carlitz's type q-Euler polynomials.