Nonterminating Extensions of the Sears Transformation
DOI:
https://doi.org/10.5644/SJM.12.2.07Keywords:
Basic hypergeometric series, The Sears transformation, The $q$-Kampé de Fériet series, The $q$-Pfaff-Saalschütz theoremAbstract
By means of two and three term relations of $_3\phi_2$-series, we investigate the nonterminating $_4\phi_3$-series. Eight transformation formulaes into double series are established. Four of them are shown to be nonterminating extensions of the Sears transformation.
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References
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