On a New Summation Formula for 𝟐𝜓𝟐 Basic Bilateral Hypergeometric Series and Its Applications
International Journal of Mathematics and Mathematical Sciences, 2011 We have obtained a new summation formula for 2𝜓2 bilateral basic hypergeometric series by the method of parameter augmentation and demonstrated its various uses leading to some development of etafunctions, 𝑞-gamma, and 𝑞-beta function identities.
D. D. Somashekara +2 more
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On the very-well-poised bilateral basic hypergeometric ψ77 series [PDF]
Journal of Mathematical Analysis and Applications, 2010 AbstractThe purpose of this paper is to derive several new transformation formulas between bilateral and unilateral basic hypergeometric series by making use of a method which was first used by Watson and later more systematically employed by Bailey.
Zhang, Zhizheng, Hu, Qiuxia
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Electroacupuncture Ameliorates Cognitive Impairment in Vascular Dementia Rats: Potential Involvement of the Astrocyte-Synapse Axis. [PDF]
Brain BehavElectroacupuncture significantly ameliorates cognitive impairment and synaptic damage in vascular dementia rats, showing specific advantages over nimodipine. These neuroprotective effects are closely associated with modulating the astrocyte–synapse axis to suppress neuroinflammation and enhance neurotrophic support.
Guo S +5 more
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A relationship between rational and multi-soliton solutions of the BKP hierarchy [PDF]
, 2005 We consider a special class of solutions of the BKP hierarchy which we call $\tau$-functions of hypergeometric type. These are series in Schur $Q$-functions over partitions, with coefficients parameterised by a function of one variable $\xi$, where the ...
Orlov, A.Y., Nimmo, J.J.C.
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Two entries on bilateral hypergeometric series in Ramanujan’s lost notebook [PDF]
Proceedings of the American Mathematical Society, 2006 Two entries of bilateral sums in Ramanujan’s lost notebook are confirmed by means of Dougall’s bilateral series identities with one of them being corrected.
CHU, Wenchang, BERNDT B. C.
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New Curious Bilateral q-Series Identities
Axioms, 2012 By applying a classical method, already employed by Cauchy, to a terminating curious summation by one of the authors, a new curious bilateral q-series identity is derived.
Frédéric Jouhet, Michael J. Schlosser
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ON BILATERAL BASIC HYPERGEOMETRIC SERIES AND CONTINUED FRACTIONS
International Journal of Apllied Mathematics, 2013 Summary: This article deals with the derivation of continued fraction involving bilateral basic hypergeometric series by making use of known three term relations and other known results of R. P. Agarwal.
Srivastava, Pankaj +1 more
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On generalization of continued fraction of Gauss
International Journal of Mathematics and Mathematical Sciences, 1990 In this paper we establish a continued fraction represetation for the ratio qf two basic bilateral hypergeometric series 2ψ2's which generalize Gauss' continued fraction for the ratio of two 2F1's.
Remy Y. Denis
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Hypergeometric Series, Truncated Hypergeometric Series, and Gaussian Hypergeometric Functions [PDF]
, 2016 In this paper, we investigate the relationships among hypergeometric series, truncated hypergeometric series, and Gaussian hypergeometric functions through some families of “hypergeometric†algebraic varieties that are higher dimensional analogues of ...
Holly Swisher +9 more
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Duality relations for hypergeometric series [PDF]
, 2014 16 pagesWe explicitly give the relations between the hypergeometric solutions of the general hypergeometric equation and their duals, as well as similar relations for q-hypergeometric equations.
Beukers, Frits, Jouhet, Frédéric
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