Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 579509, 6 pages
doi:10.1155/2010/579509
Research Article

Multivariate Twisted p-Adic q-Integral on ℤp Associated with Twisted q-Bernoulli Polynomials and Numbers

Seog-Hoon Rim, Eun-Jung Moon, Sun-Jung Lee, and Jeong-Hee Jin

Department of Mathematics, Kyungpook National University, Daegu 702-701, Republic of Korea

Received 19 June 2010; Accepted 2 October 2010

Academic Editor: Ulrich Abel

Copyright © 2010 Seog-Hoon Rim 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

Recently, many authors have studied twisted q-Bernoulli polynomials by using the p-adic invariant q-integral on ℤp. In this paper, we define the twisted p-adic q-integral on ℤp and extend our result to the twisted q-Bernoulli polynomials and numbers. Finally, we derive some various identities related to the twisted q-Bernoulli polynomials.