Transformation and reduction formulae for double q-Clausen hypergeometric series
✍ Scribed by Wenchang Chu; Cangzhi Jia
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 172 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.891
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✦ Synopsis
Abstract
By means of the Sears transformations, we establish eight general transformation theorems on bivariate basic hypergeometric series. Several transformation, reduction and summation formulae on the double q‐Clausen hypergeometric series are derived as consequences. Copyright © 2007 John Wiley & Sons, Ltd.
📜 SIMILAR VOLUMES
We derive summation formulas for generalized hypergeometric series of unit argument, one of which upon specialization reduces to Minton's summation theorem. As an application we deduce a reduction formula for a certain Kampé de Fériet function that in turn provides a Kummer-type transformation formu