Journal of Inequalities and Applications (Jan 2009)
On Convergence of <inline-formula> <graphic file="1029-242X-2009-170526-i1.gif"/></inline-formula>-Series Involving <inline-formula> <graphic file="1029-242X-2009-170526-i2.gif"/></inline-formula> Basic Hypergeometric Series
Abstract
We use inequality technique and the terminating case of the -binomial formula to give some results on convergence of -series involving basic hypergeometric series. As an application of the results, we discuss the convergence for special Thomae -integral.