Abstract and Applied Analysis
Volume 2009 (2009), Article ID 848943, 8 pages
doi:10.1155/2009/848943
Research Article

Some Identities of Symmetry for the Generalized Bernoulli Numbers and Polynomials

Taekyun Kim,1 Seog-Hoon Rim,2 and Byungje Lee3

1Division of General Education-Mathematics, Kwangwoon University, Seoul 139-701, South Korea
2Department of Mathematics Education, Kyungpook National University, Taegu 702-701, South Korea
3Department of Wireless Communications Engineering, Kwangwoon University, Seoul 139-701, South Korea

Received 4 April 2009; Accepted 11 May 2009

Academic Editor: Lance Littlejohn

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

By the properties of p-adic invariant integral on ℤp, we establish various identities concerning the generalized Bernoulli numbers and polynomials. From the symmetric properties of p-adic invariant integral on ℤp, we give some interesting relationship between the power sums and the generalized Bernoulli polynomials.