On Some Transformation and Summation Formulae for Bivariate Basic Hypergeometric Series |
Received:December 02, 2007 Revised:May 21, 2008 |
Key Words:
basic hypergeometric series Watson's $q$-Whipple transformation series rearrangement.
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Fund Project:the National Natural Science Foundation of China (No.10771093); the Natural Science Foundation of the Education Department of Henan Province (No.2007110025). |
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Abstract: |
The purpose of this paper is to establish several transformation formulae for bivariate basic hypergeometric series by means of series rearrangement technique. From these transformations, some interesting summation formulae are obtained. |
Citation: |
DOI:10.3770/j.issn:1000-341X.2009.06.011 |
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