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
<p/> <p>We use inequality technique and the terminating case of the <inline-formula> <graphic file="1029-242X-2009-170526-i3.gif"/></inline-formula>-binomial formula to give some results on convergence of <inline-formula> <graphic file="1029-242X...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2009-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2009/170526 |
| Summary: | <p/> <p>We use inequality technique and the terminating case of the <inline-formula> <graphic file="1029-242X-2009-170526-i3.gif"/></inline-formula>-binomial formula to give some results on convergence of <inline-formula> <graphic file="1029-242X-2009-170526-i4.gif"/></inline-formula>-series involving <inline-formula> <graphic file="1029-242X-2009-170526-i5.gif"/></inline-formula> basic hypergeometric series. As an application of the results, we discuss the convergence for special Thomae <inline-formula> <graphic file="1029-242X-2009-170526-i6.gif"/></inline-formula>-integral.</p> |
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| ISSN: | 1025-5834 1029-242X |