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Certain product theorems for bilateral hypergeometric series

Mathematical Proceedings of the Cambridge Philosophical Society, 1966
Introduction. Agarwalin 1953 ((1)) gave the most general transformations involving bilateral cognate trigonometrical series of the hypergeometric type. Later, Shukla in 1957 ((2)) gave certain relations involving the products of two bilateral hypergeometric series.
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More Semi-Finite Forms of Bilateral Basic Hypergeometric Series

Annals of Combinatorics, 2007
We prove some new semi-finite forms of bilateral basic hypergeometric series. One of them yields in a direct limit Bailey’s celebrated 6ψ6 summation formula, answering a question recently raised by Chen and Fu.
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Certain transformations of bilateral cognate trigonometrical series of the hypergeometric type

Mathematical Proceedings of the Cambridge Philosophical Society, 1968
Recently (2) I gave certain transformations involving cognate trigonometrical series of the hypergeometric type. The arguments of the ordinary bilateral hypergeometric series involved were unity. In this paper, using the same technique applied in the above paper some general transformations have been established which further generalize the previous ...
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On Certain Transformations of Bilateral Basic Hypergeometric Series

Journal of Advanced Mathematics and Applications, 2016
S. Ahmad Ali, S. Nadeem Hasan Rizvi
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A note on the partial sums of certain basic bilateral hypergeometric series

Mathematical Proceedings of the Cambridge Philosophical Society, 1956
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