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Transformation and reduction formulae for double q‐Clausen hypergeometric series |
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| Authors: | Wenchang Chu Cangzhi Jia |
| Institution: | Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, People's Republic of China |
| 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. |
| Keywords: | basic hypergeometric series q‐Gauss summation theorem q‐Pfaff– Saalschü tz formula Sears transformations Kampé de Fé riet function double q‐Clausen series |