Results 31 to 40 of about 614 (214)
DEGENERATE GAUSS HYPERGEOMETRIC FUNCTIONS
Kyushu Journal of Mathematics, 2007 22 ...
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Mathematics, 2022 Given real parameters a,b,c and integer shifts n1,n2,m, we consider the ratio R(z)=2F1(a+n1,b+n2;c+m;z)/2F1(a,b;c;z) of the Gauss hypergeometric functions.
Alexander Dyachenko, Dmitrii Karp
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Extended Riemann-Liouville type fractional derivative operator with applications
Open Mathematics, 2017 The main purpose of this paper is to introduce a class of new extended forms of the beta function, Gauss hypergeometric function and Appell-Lauricella hypergeometric functions by means of the modified Bessel function of the third kind.
Agarwal P., Nieto Juan J., Luo M.-J.
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Gauss’ Hypergeometric Function [PDF]
, 2007 We give a basic introduction to the properties of Gauss’ hypergeometric functions, with an emphasis on the determination of the monodromy group of the Gaussian hypergeometric equation.
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Properties of Gauss Hypergeometric function, 2F1, of special parameters
, 2023 Hyunseong Kim
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A New Padé Approach to Modeling Wormholes in Dekel‐Zhao Dark Matter Halos
Annalen der Physik, Volume 538, Issue 3, March 2026.A matter‐first Padé strategy is introduced to build traversable wormholes from prescribed dark‐matter halos. Rational Padé fits approximately the Dekel–Zhao density and are analytically integrated to obtain a shape function that exactly reproduces the intended matter content, avoiding spurious poles of geometry‐first schemes.
Jonathan Alves Rebouças +4 more
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Small Structures, Volume 7, Issue 2, February 2026.This work describes how to conceive validated mixed machine learned/empirical energy functions based on finite‐sized molecular clusters for condensed phase simulations. Energy functions for pure and heterogeneous systems are one of the backbones for molecular simulation of condensed phase systems.
JingChun Wang +10 more
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New Extension of Beta Function and Its Applications
International Journal of Mathematics and Mathematical Sciences, 2018 In the present paper, new type of extension of classical beta function is introduced and its convergence is proved. Further it is used to introduce the extension of Gauss hypergeometric function and confluent hypergeometric functions. Then we study their
Mehar Chand, Hanaa Hachimi, Rekha Rani
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Advances in Difference Equations, 2018 In this paper, we present further generalizations of the beta function; Riemann–Liouville, Caputo and Kober–Erdelyi fractional operators by using confluent hypergeometric function with six parameters.
Ayşegül Çetinkaya +3 more
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Hypergeometric motives from Euler integral representations
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract We revisit certain one‐parameter families of affine covers arising naturally from Euler's integral representation of hypergeometric functions. We introduce a partial compactification of this family. We show that the zeta function of the fibers in the family can be written as an explicit product of L$L$‐series attached to nondegenerate ...
Tyler L. Kelly, John Voight
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