Results 21 to 30 of about 135,153 (239)
(q,h)-Bernstein Bases and Basic Hypergeometric Series
Journal of Engineering Technology and Applied SciencesQuantum (q,h)-Bernstein bases and basic hypergeometric series are two seemingly unrelated mathematical entities. In this work, it is indicated that they are deeply interrelated theories.
Fatma Zürnacı Yetiş
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Factorization of Basic Hypergeometric Series
Symmetry, Integrability and Geometry: Methods and ApplicationsThe general problem of the factorization of a basic hypergeometric series is presented and discussed. The case of the general $_2\psi_2$ series is examined in detail.
Jonathan G. Bradley-Thrush
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Bilateral inversions and terminating basic hypergeometric series identities
Discrete Mathematics, 2008 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.
Wenchang Chu, Chenying Wang
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One-parameter orthogonality relations for basic hypergeometric series [PDF]
Indagationes Mathematicae, 2003 18 pages, to appear in Indagationes ...
Koelink, Erik
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K-theoretic wall-crossing formulas and multiple basic hypergeometric series [PDF]
Journal of AlgebraRyo Ohkawa, Jun'ichi Shiraishi
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Certain transformations of basic hypergeometric series and their applications [PDF]
Pacific Journal of Mathematics, 1982 V. K. Jain
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An affine Weyl group action on the basic hypergeometric series arising from the q-Garnier system [PDF]
Letters in Mathematical Physics, 2022 Recently, we formulated the q-Garnier system in a framework of an extended affine Weyl group of type A2n+1(1)×A1(1)×A1(1)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy}
Taiki Idomoto, Takao Suzuki
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Cyclotomic valuation of $q$-Pochhammer symbols and $q$-integrality of basic hypergeometric series [PDF]
Acta Arithmetica, 2022 We give a formula for the cyclotomic valuation of $q$-Pochhammer symbols in terms of (generalized) Dwork maps. We also obtain a criterion for the $q$-integrality of basic hypergeometric series in terms of certain step functions, which generalize Christol
B. Adamczewski +3 more
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Extension of the q-Pfaff-Saalschütz Theorem by Two Integer Parameters
Mathematics, 2022 We investigate a class of terminating 3ϕ2-series that comes from the balanced series perturbed by two extra integer parameters. By making use of the linearization method, a general summation formula is established that extends the well-known q-Pfaff ...
Nadia N. Li, Wenchang Chu
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