Journal of Inequalities and Applications
Volume 2009 (2009), Article ID 170526, 9 pages
doi:10.1155/2009/170526
Research Article

On Convergence of q-Series Involving ϕr+1r Basic Hypergeometric Series

Mingjin Wang1 and Xilai Zhao2

1Department of Applied Mathematics, Jiangsu Polytechnic University, Changzhou, Jiangsu 213164, China
2Department of Mechanical and Electrical Engineering, Hebi College of Vocation and Technology, Hebi, Henan 458030, China

Received 18 December 2008; Accepted 24 March 2009

Academic Editor: Ondrej Dosly

Copyright © 2009 Mingjin Wang and Xilai Zhao. 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 use inequality technique and the terminating case of the q-binomial formula to give some results on convergence of q-series involving ϕr+1r basic hypergeometric series. As an application of the results, we discuss the convergence for special Thomae q-integral.