Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 682072, 6 pages
doi:10.1155/2010/682072
Research Article

Generalized q-Euler Numbers and Polynomials of Higher Order and Some Theoretic Identities

T. Kim and Y. H. Kim

Division of General Education-Mathematics, Kwangwoon University, Seoul 139-701, Republic of Korea

Received 25 February 2010; Accepted 26 April 2010

Academic Editor: Yeol J. E. Cho

Copyright © 2010 T. Kim and Y. H. Kim. 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 q-Euler numbers and polynomials of higher order attached to Dirichlet's character χ. We derive some theoretic identities involving the generalized q-Euler numbers and polynomials of higher order.