Journal of Inequalities and Applications
Volume 2009 (2009), Article ID 640152, 7 pages
doi:10.1155/2009/640152
Research Article

On the Identities of Symmetry for the Generalized Bernoulli Polynomials Attached to χ of Higher Order

Taekyun Kim,1 Lee-Chae Jang,2 Young-Hee Kim,1 and Kyung-Won Hwang3

1Division of General Education-Mathematics, Kwangwoon University, Seoul 139-701, South Korea
2Department of Mathematics and Computer Science, Konkook University, Chungju 139-701, South Korea
3Department of General Education, Kookmin University, Seoul 136-702, South Korea

Received 5 June 2009; Accepted 5 August 2009

Academic Editor: Vijay Gupta

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

We give some interesting relationships between the power sums and the generalized Bernoulli numbers attached to χ of higher order using multivariate p-adic invariant integral on ℤp.