Advances in Difference Equations
Volume 2009 (2009), Article ID 318639, 6 pages
doi:10.1155/2009/318639
Research Article

Symmetry Properties of Higher-Order Bernoulli Polynomials

Taekyun Kim,1 Kyung-Won Hwang,2 and Young-Hee Kim1

1Division of General Education-Mathematics, Kwangwoon University, Seoul 139-701, South Korea
2Department of General Education, Kookmin University, Seoul 136-702, South Korea

Received 11 March 2009; Revised 6 July 2009; Accepted 2 August 2009

Academic Editor: Patricia J. Y. Wong

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 investigate properties of identities and some interesting identities of symmetry for the Bernoulli polynomials of higher order using the multivariate p-adic invariant integral on ℤp.