Results 11 to 20 of about 12,473 (234)
Algebraic transformations of Gauss hypergeometric functions
Funkcialaj Ekvacioj, 2009 This article gives a classification scheme of algebraic transformations of Gauss hypergeometric functions, or pull-back transformations between hypergeometric differential equations.
Vidunas, Raimundas
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Asymptotics of the Gauss hypergeometric function with large parameters, I [PDF]
Journal of Classical Analysis, 2013 We obtain asymptotic expansions for the Gauss hypergeometric function F(a+ε1λ,b+ε2λ;c+ε3λ;z) as |λ| →∞ when the εj are finite by an application of the method of steepest descents, thereby extending previous results corresponding to εj = 0, ±1. By means of
Paris, Richard B.
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Gauss hypergeometric function and quadratic $R$-matrix algebras [PDF]
St. Petersburg mathematical journal, 1993 We consider representations of quadratic $R$-matrix algebras by means of certain first order ordinary differential operators. These operators turn out to act as parameter shifting operators on the Gauss hypergeometric function and its limit cases and on ...
Koornwinder, Tom H., Kuznetsov, Vadim B.
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New Series Expansions of the Gauss Hypergeometric Function [PDF]
Advances in Computational Mathematics, 2013 The Gauss hypergeometric function ${}_2F_1(a,b,c;z)$ can be computed by using the power series in powers of $z, z/(z-1), 1-z, 1/z, 1/(1-z),(z-1)/z$. With these expansions ${}_2F_1(a,b,c;z)$ is not completely computable for all complex values of $z$.
López, José Luis, Temme, Nico M.
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AIMS Mathematics, 2022 In this work, we define an extension of the k-Wright ((k,τ)-Gauss) hypergeometric matrix function and obtain certain properties of this function. Further, we present this function to achieve the solution of the fractional kinetic equations.
Muajebah Hidan +3 more
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Generalized degenerate Bernoulli numbers and polynomials arising from Gauss hypergeometric function [PDF]
Advances in Difference Equations, 2021 A new family of p-Bernoulli numbers and polynomials was introduced by Rahmani (J. Number Theory 157:350–366, 2015) with the help of the Gauss hypergeometric function.
Taekyun Kim +4 more
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Explicit Expressions for Most Common Entropies [PDF]
Entropy, 2023 Entropies are useful measures of variation. However, explicit expressions for entropies available in the literature are limited. In this paper, we provide a comprehensive collection of explicit expressions for four of the most common entropies for over ...
Saralees Nadarajah, Malick Kebe
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Hypergeometric decomposition of symmetric K3 quartic pencils. [PDF]
Res Math Sci, 2020 We study the hypergeometric functions associated to five one-parameter deformations of Delsarte K3 quartic hypersurfaces in projective space. We compute all of their Picard--Fuchs differential equations; we count points using Gauss sums and rewrite this ...
Doran CF +5 more
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Hermite-Hadamard inequalities involving the Gauss hypergeometric function
AIP Conference Proceedings, 2018 The goal of this study is obtained the new generalization Hermite-Hadamard-Fejer inequalities involving the Gauss hypergeometric function. The results presented here would provide some fractional inequalities involving Saigo, Erdelyi-Kober and Riemann-Liouville type fractional operators.
Mehmet Zeki Sarıkaya
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TRANSFORMATIONS AND INVARIANTS FOR DIHEDRAL GAUSS HYPERGEOMETRIC FUNCTIONS
Kyushu Journal of Mathematics, 2012 Hypergeometric equations with a dihedral monodromy group can be solved in terms of elementary functions. This paper gives explicit general expressions for quadratic monodromy invariants for these hypergeometric equations, using a generalization of Clausen's formula and terminating double hypergeometric sums.
Raimundas Vidūnas
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