Discrete Dynamics in Nature and Society
Volume 2011 (2011), Article ID 476381, 7 pages
http://dx.doi.org/10.1155/2011/476381
Research Article

On the Values of the Weighted 𝑞 -Zeta and 𝐿 -Functions

T. Kim,1 S. H. Lee,1 Hyeon-Ho Han,2 and C. S. Ryoo3

1Division of General Education, Kwangwoon University, Seoul 139-701, Republic of Korea
2Department of Information display, Kwangwoon University, Seoul 139-701, Republic of Korea
3Department of Mathematics, Hannam University, Daejeon 306-791, Republic of Korea

Received 17 August 2011; Accepted 3 October 2011

Academic Editor: Binggen Zhang

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

Recently, the modified 𝑞 -Bernoulli numbers and polynomials are introduced in (D. V. Dolgy et al., in press). These numbers are valuable to study the weighted 𝑞 -zeta and 𝐿 -functions. In this paper, we study the weighted 𝑞 -zeta functions and weighted 𝐿 -functions from the modified 𝑞 -Bernoulli numbers and polynomials with weight 𝛼 .