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Reduction and transformation formulae for bivariate basic hypergeometric series |
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| Authors: | C.-Z. Jia T.-M. Wang |
| Affiliation: | Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, PR China |
| Abstract: | The main object of this paper is to establish several bivariate basic hypergeometric series identities by means of elementary series manipulation. Some of them can be applied to yield transformation and reduction formulae for q-Kampé de Fériet functions. |
| Keywords: | Basic hypergeometric series Kampé de Fé riet functions Jackson's transformation q-Pfaff-Saalschü tz theorem Sears-Carlitz transformation Watson's q-Whipple transformation |
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