Abstract and Applied Analysis
Volume 2008 (2008), Article ID 304539, 13 pages
Multivariate -Adic Fermionic -Integral on and Related Multiple Zeta-Type Functions
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.
In 2008, Jang et al. constructed generating functions
of the multiple twisted Carlitz's type -Bernoulli polynomials and obtained
the distribution relation for them. They also raised the following problem:
“are there analytic multiple twisted Carlitz's type -zeta functions which
interpolate multiple twisted Carlitz's type -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 -extension of Euler
polynomials and multiple twisted Carlitz's type -Euler polynomials.