Advances in Difference Equations
Volume 2009 (2009), Article ID 273545, 9 pages
doi:10.1155/2009/273545
Research Article

On the Identities of Symmetry for the ζ-Euler Polynomials of Higher Order

Taekyun Kim,1 Kyoung Ho Park,2 and Kyung-won Hwang3

1Division of General Education-Mathematics, Kwangwoon University, Seoul 139-701, South Korea
2Department of Mathematics, Sogang University, Seoul 121-742, South Korea
3Department of General Education, Kookmin University, Seoul 139-702, South Korea

Received 19 February 2009; Revised 31 May 2009; Accepted 18 June 2009

Academic Editor: Agacik Zafer

Copyright © 2009 Taekyun 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

The main purpose of this paper is to investigate several further interesting properties of symmetry for the multivariate p-adic fermionic integral on ℤp. From these symmetries, we can derive some recurrence identities for the ζ-Euler polynomials of higher order, which are closely related to the Frobenius-Euler polynomials of higher order. By using our identities of symmetry for the ζ-Euler polynomials of higher order, we can obtain many identities related to the Frobenius-Euler polynomials of higher order.