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The Saalschütz chain reactions and bilateral basic hypergeometric series
Constructive Approximation, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Certain product theorems for bilateral hypergeometric series
Mathematical Proceedings of the Cambridge Philosophical Society, 1966Introduction. 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, 2007We 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 Nearly-Poised Bilateral Hypergeometric Series of Special Type
Canadian Journal of Mathematics, 1958A few years ago Bailey (1) gave certain transformations of both terminating and non-terminating nearly-poised hypergeometric series of the ordinary type and later on he also deduced basic analogues of some of his transformations. Recently, (3) I gave certain transformations of both ordinary and basic terminating nearly-poised bilateral hypergeometric ...
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The basic bilateral hypergeometric series and the mock theta functions
The Ramanujan Journal, 2011In his last letter to G. N. Hardy, S. Ramanujan introduced the mock theta functions, and he also presented mock theta functions and their identities in his last note book. G. N. Watson investigated the relations between Ramanujan's fifth order mock theta function and the function introduced by M. Lerch. In this paper, the author introduces the infinite
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General Transformations of Bilateral Cognate Trigonometrical Series of Ordinary Hypergeometric Type
Canadian Journal of Mathematics, 1953Whipple [6] was the first to consider transformations connecting well-poised hypergeometric series as particular cases of relations between cognate trigonometrical series. He used contour integrals of the Barnes type to deduce such transformations. Later Sears [3] gave a systematic
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