Department of Mathematics, Kyungpook National University, Daegu 702-701, Republic of Korea
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.
Recently, many authors have studied twisted -Bernoulli polynomials by using the -adic invariant -integral on . In this paper, we define
the twisted -adic -integral on and extend our result to the twisted -Bernoulli polynomials and numbers. Finally, we derive some various identities
related to the twisted -Bernoulli polynomials.