On Convergence of [inline-graphic not available: see fulltext]-Series Involving [inline-graphic not available: see fulltext] Basic Hypergeometric Series

被引:0
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作者
Mingjin Wang
Xilai Zhao
机构
[1] Jiangsu Polytechnic University,Department of Applied Mathematics
[2] Hebi College of Vocation and Technology,Department of Mechanical and Electrical Engineering
关键词
Real Number; Ratio Test; Nonnegative Integer; Hypergeometric Series; Compact Notation;
D O I
10.1155/2009/170526
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摘要
We use inequality technique and the terminating case of the [inline-graphic not available: see fulltext]-binomial formula to give some results on convergence of [inline-graphic not available: see fulltext]-series involving [inline-graphic not available: see fulltext] basic hypergeometric series. As an application of the results, we discuss the convergence for special Thomae [inline-graphic not available: see fulltext]-integral.
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