Results 121 to 130 of about 1,933 (161)
Esm-1 mediates transcriptional polarization associated with diabetic kidney disease.
Am J Physiol Renal PhysiolGaudet A, Zheng X, Kambham N, Bhalla V.
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Bilateral Basic Hypergeometric Series [PDF]
, 2004 Wenchang Chu, Di Claudio Leontina
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The Saalschütz chain reactions and bilateral basic hypergeometric series [PDF]
Constructive Approximation, 2002 By iterating recursively the q-Saalschutz summation formula, we introduce the Saalschutz chain reactions. A general series transform, which expresses a nonterminating bilateral series in terms of a finite multiple unilateral sum, will be established. As applications we derive, by means of Bailey’s 6ψ6 -series identity, several bilateral transformations
Wenchang Chu
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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.
R. Y. Denis
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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 ...
R. Y. Denis
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The basic bilateral hypergeometric series and the mock theta functions
The Ramanujan Journal, 2011 S. Ramanujan introduced the mock theta functions in his last letter to G.H. Hardy. In his letter and Lost Notebook, he presented mock theta functions and their identities. The expression of each mock theta function relies on the hypergeometric series. G.N.
Youn-Seo Choi
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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.
Frédéric Jouhet
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Integration of Bilateral Hypergeometric Series with Respect To Their Parameters
Journal of the London Mathematical Society, 1964 Aman Verma
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On Certain Transformations of Bilateral Basic Hypergeometric Series
Journal of Advanced Mathematics and Applications, 2016 Shoukat 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 Vipul Singh
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