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

Some identities of symmetry for the generalized Bernoulli numbers and polynomials

Taekyun Kim1 , Seog-Hoon Rim2 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

Abstract

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