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

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.

Bibliographic Details
Main Authors: Mingjin Wang, Xilai Zhao
Format: Article
Language:English
Published: SpringerOpen 2009-01-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2009/170526