Results 11 to 20 of about 4,179,714 (219)
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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Logarithmic A-hypergeometric series [PDF]
International Journal of Mathematics, 2020 The method of Frobenius is a standard technique to construct series solutions of an ordinary linear differential equation around a regular singular point.
Saito, Mutsumi
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Matrix q-hypergeometric series [PDF]
Discrete Mathematics, 1995 After extending the basic hypergeometric series to series with matrix coefficients, we apply them to the solution of q-difference-q-differential equations, and to the formulation of a versatile tool for producing generating functions and series-product ...
Yang, Kung-Wei
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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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Special values of the hypergeometric series [PDF]
Memoirs of the American Mathematical Society, 2017 In this paper, the author presents a new method for finding identities for hypergeoemtric series, such as the (Gauss) hypergeometric series, the generalized hypergeometric series and the Appell-Lauricella hypergeometric series.
Akihito Ebisu, Ebisu, Akihito
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Hypergeometric series representations of Feynman integrals by GKZ hypergeometric systems [PDF]
Journal of High Energy Physics, 2020 We show that almost all Feynman integrals as well as their coefficients in a Laurent series in dimensional regularization can be written in terms of Horn hypergeometric functions.
René Pascal Klausen
doaj +2 more sources
Exceptional sets of hypergeometric series [PDF]
Journal of Number Theory, 2003 For a family of transcendental hypergeometric series, we determine explicitly the set of algebraic points at which the series takes algebraic values (the so-called exceptional set). This answers a question of Siegel in special cases.
Natália Archinard, Archinard, Natália
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Logarithmic A-hypergeometric series II [PDF]
, 2022 In this paper, following (Saito in Int J Math 31(13):2050110, 2020), we continue to develop the perturbingmethod of constructing logarithmic series solutions to a regular A-hypergeometric system.
Okuyama, Go, Saito, Mutsumi
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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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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 ₂₂ series is examined in detail.
Bradley-Thrush, Jonathan G.
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