Discrete Dynamics in Nature and Society
Volume 2011 (2011), Article ID 354329, 12 pages
http://dx.doi.org/10.1155/2011/354329
Research Article

On the Higher-Order 𝑞 -Euler Numbers and Polynomials with Weight 𝛼

K.-W. Hwang,1,2 D. V. Dolgy,3 T. Kim,2 and S. H. Lee2

1Department of Mathematics, Dong-A University, Busan 604-714, Republic of Korea
2Division of General Education, Kwangwoon University, Seoul 139-701, Republic of Korea
3Hanrimwon, Kwangwoon University, Seoul 139-701, Republic of Korea

Received 9 May 2011; Accepted 19 June 2011

Academic Editor: Cengiz Çinar

Copyright © 2011 K.-W. Hwang 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

The main purpose of this paper is to present a systemic study of some families of higher-order q-Euler numbers and polynomials with weight α. In particular, by using the fermionic p-adic q-integral on ℤ 𝑝 , we give a new concept of q-Euler numbers and polynomials with weight α.