Results 91 to 100 of about 133,643 (206)
Expansion formulas for multiple basic hypergeometric series over root systems [PDF]
Advances in Applied Mathematics, 2021 G. Bhatnagar, Surbhi Rai
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An Inequality for Basic Confluent Hypergeometric Series
, 2006 In this very short note we will derive an inequality for a class of entire functions including all the confluent basic hypergeometric series and an inequality for a class of meromorphic functions including theta functions.
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A note on certain classes of multivariable q-series transformations
Le Matematiche, 2010 The present note envisage to derive some new classes of multiple q-series transformations and reduction formulae. Special cases in terms ofthe known and new results are also derived.
Sunil Dutt Purohit, Rajendra Kumar Yadav
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Bilateral Basic Hypergeometric Series: A Study
Anusandhaan - Vigyaan Shodh Patrika, 2018 In the present work, certain transformations and summation formulae for basic bilateral hypergeometric series have been discussed. This study also gives the method of obtaining new transformations and summation formulae for basic bilateral hypergeometric series. Some of the applications have been mentioned.
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Two types of series expansions valid at strong coupling
Journal of High Energy PhysicsIt is known that perturbative expansions in powers of the coupling in quantum mechanics (QM) and quantum field theory (QFT) are asymptotic series. This can be useful at weak coupling but fails at strong coupling.
Ariel Edery
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Transformation Formulas for Bilinear Sums of Basic Hypergeometric Series [PDF]
Canadian Mathematical Bulletin, 2016 Abstract A master formula of transformation formulas for bilinear sums of basic hypergeometric series is proposed. It is obtained from the author’s previous results on a transformation formula for Milne’s multivariate generalization of basic hypergeometric series of type A with diòerent dimensions and it can be considered as a ...
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The contiguous function relations for the basic hypergeometric series
Journal of Mathematical Analysis and Applications, 1990 De facon analogue aux developpements de Rainville de relations contigues pour la fonction hypergeometrique generalisee on etablit ce type de relations pour la q-extension de cette fonction, la fonction hypergeometrique de base.
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Bilateral inversions and terminating basic hypergeometric series identities
Discrete Mathematics, 2009 AbstractThe q-analogue of Legendre inversions is established and generalized to bilateral sequences. They are employed to investigate the dual relations of three basic formulae due to Jackson and Bailey, on balanced 3ϕ2-series, well-poised 8ϕ7-series and bilateral 6ψ6-series.
CHU, Wenchang, WANG C.
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Two new transformation formulas of basic hypergeometric series
Journal of Mathematical Analysis and Applications, 2007 AbstractBy means of a modified version of Cauchy's method for obtaining bilateral series identities, two new transformation formulas for bilateral basic hypergeometric series are derived. These contain several important identities for basic hypergeometric series as special cases, including the nonterminating q-Saalschütz summation, Bailey's very well ...
Caihuan Zhang, Zhizheng Zhang
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