Discrete Dynamics in Nature and Society
Volume 2011 (2011), Article ID 918364, 6 pages
http://dx.doi.org/10.1155/2011/918364
Research Article

Identities on the Weighted 𝑞 -Bernoulli Numbers of Higher Order

T. Kim,1 D. V. Dolgy,2 B. Lee,3 and S.-H. Rim4

1Division of General Education, Kwangwoon University, Seoul 139-701, Republic of Korea
2Hanrimwon, Kwangwoon University, Seoul 139-701, Republic of Korea
3Department of Wireless of Communications Engineering, Kwangwoon University, Seoul 139-701, Republic of Korea
4Department of Mathematics Education, Kyungpook National University, Taegu 702-701, Republic of Korea

Received 6 August 2011; Accepted 17 August 2011

Academic Editor: Lee-Chae Jang

Copyright © 2011 T. 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 give a new construction of the weighted q-Bernoulli numbers and polynomials of higher order by using multivariate 𝑝 -adic 𝑞 -integral on ℤ 𝑝 .