Results 31 to 40 of about 821 (208)
On a new result for the hypergeometric function [PDF]
, 2021 The aim of this note is to provide a new identity connected with the Gauss hypergeometric function.
Paris, Richard B., Rathie, Arjun K.
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Journal of New Theory, 2022 The main objective of this paper is to use the newly proposed $(p,q;l)$-extended beta function to introduce the $(p,q;l)$-extended $τ$-Gauss hypergeometric and the $(p,q;l)$-extended $τ$-confluent hypergeometric functions with some of their properties ...
Umar Muhammad Abubakar
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Multidomain spectral method for the Gauss hypergeometric function [PDF]
Numerical Algorithms, 2019 We present a multidomain spectral approach for Fuchsian ordinary differential equations in the particular case of the hypergeometric equation. Our hybrid approach uses Frobenius' method and Moebius transformations in the vicinity of each of the singular points of the hypergeometric equation, which leads to a natural decomposition of the real axis into ...
S. Crespo +4 more
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Solar structure in terms of Gauss' hypergeometric function [PDF]
Astrophysics and Space Science, 1995 Hydrostatic equilibrium and energy conservation determine the conditions in the gravitationally stabilized solar fusion reactor. We assume a matter density distribution varying non-linearly through the central region of the Sun. The analytic solutions of the differential equations of mass conservation, hydrostatic equilibrium, and energy conservation ...
Haubold, H. J., Mathai, A. M.
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Transformation relations of matrix functions associated to the hypergeometric function of Gauss under modular transformations [PDF]
, 2004 In this paper we consider 2 x 2 matrix functions analytic on the upper half plane associated to the hypergeometric function of Gauss, and establish transformations of these matrix functions under some modular transformations. The matrix functions studied
Watanabe, Humihiko
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Generalized degenerate Bernoulli numbers and polynomials arising from Gauss hypergeometric function
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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Summation identities for the Kummer confluent hypergeometric function 1F1(a; b;z)
Kuwait Journal of Science, 2023 The role which hypergeometric functions have in the numerical and symbolic calculation, especially in the fields of applied mathematics and mathematical physics motivated research in this paper.
Gradimir V. Milovanović +2 more
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Multiple orthogonal polynomials with respect to Gauss' hypergeometric function [PDF]
, 2021 A new set of multiple orthogonal polynomials of both type I and type II with respect to two weight functions involving Gauss' hypergeometric function on the interval (0,1) is studied.
Lima, Helder, Loureiro, Ana F.
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DIHEDRAL GAUSS HYPERGEOMETRIC FUNCTIONS
Kyushu Journal of Mathematics, 2011 Gauss hypergeometric functions with a dihedral monodromy group can be expressed as elementary functions, since their hypergeometric equations can be transformed to Fuchsian equations with cyclic monodromy groups by a quadratic change of the argument variable.
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DEGENERATE GAUSS HYPERGEOMETRIC FUNCTIONS
Kyushu Journal of Mathematics, 2007 22 ...
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