Advances in Difference Equations
Volume 2009 (2009), Article ID 273545, 9 pages
doi:10.1155/2009/273545
On the Identities of Symmetry for the ζ-Euler Polynomials of Higher Order
Taekyun Kim1
, Kyoung Ho Park2
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
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.