Advances in Difference Equations
Volume 2010 (2010), Article ID 765259, 8 pages
doi:10.1155/2010/765259
Research Article

On the Symmetric Properties of Higher-Order Twisted q-Euler Numbers and Polynomials

Eun-Jung Moon,1 Seog-Hoon Rim,2 Jeong-Hee Jin,1 and Sun-Jung Lee1

1Department of Mathematics, Kyungpook National University, Daegu 702-701, South Korea
2Department of Mathematics Education, Kyungpook National University, Daegu 702-701, South Korea

Received 14 December 2009; Accepted 19 March 2010

Academic Editor: Panayiotis Siafarikas

Copyright © 2010 Eun-Jung Moon 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 2009, Kim et al. gave some identities of symmetry for the twisted Euler polynomials of higher-order, recently. In this paper, we extend our result to the higher-order twisted q-Euler numbers and polynomials. The purpose of this paper is to establish various identities concerning higher-order twisted q-Euler numbers and polynomials by the properties of p-adic invariant integral on ℤp. Especially, if q=1, we derive the result of Kim et al. (2009).