Mathematical Problems in Engineering
Volume 2010 (2010), Article ID 316870, 8 pages
doi:10.1155/2010/316870
Research Article

On Multiple Generalized 𝑤 -Genocchi Polynomials and Their Applications

Lee-Chae Jang

Department of Mathematics and Computer Science, Konkuk University, Chungju, Chungcheongbuk-do 380-701, Republic of Korea

Received 26 September 2010; Accepted 3 December 2010

Academic Editor: Ben T. Nohara

Copyright © 2010 Lee-Chae Jang. 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 define the multiple generalized 𝑤 -Genocchi polynomials. By using fermionic 𝑝 -adic invariant integrals, we derive some identities on these generalized 𝑤 -Genocchi polynomials, for example, fermionic 𝑝 -adic integral representation, Witt's type formula, explicit formula, multiplication formula, and recurrence formula for these 𝑤 -Genocchi polynomials.