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.  
Fund Project:the National Natural Science Foundation of China (No.10771093); the Natural Science Foundation of the Education Department of Henan Province (No.2007110025).
Author NameAffiliation
ZHANG Zhi Zheng Department of Mathematics, Luoyang Teachers' College, Henan 471022, China 
HU Qiu Xia College of Mathematics and Information Science, Henan Normal University, Henan 450001, China 
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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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