Abstract and Applied Analysis
Volume 2008 (2008), Article ID 304539, 13 pages
doi:10.1155/2008/304539
Multivariate p-Adic Fermionic q-Integral on ℤp and Related Multiple Zeta-Type Functions
Min-Soo Kim1
, Taekyun Kim2
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
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.