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DIHEDRAL GAUSS HYPERGEOMETRIC FUNCTIONS

DIHEDRAL GAUSS HYPERGEOMETRIC FUNCTIONS
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. This paper presents general elementary expressions of these dihedral hypergeometric functions,
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Fractional calculus and applications of family of extended generalized Gauss hypergeometric functions

, 2019
Mehar Chand, Jyotindra C. Prajapati, Ebenezer Bonyah, Jatinder Kumar Bansal   +3 more
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An application of hypergeometric functions to heat kernels on rectangular and hexagonal tori and a "Weltkonstante"-or-how Ramanujan split temperatures. [PDF]

Ramanujan J, 2021
Faulhuber M.
europepmc   +1 more source

A novel Kind of the multi-index Beta, Gauss, and confluent hypergeometric functions

, 2020
Musharraf Ali, Mohd Ghayasuddin, Waseem Ahmad Khan, Kottakkaran Sooppy Nisar   +3 more
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Numerical evaluation of the Gauss hypergeometric function by power summations [PDF]

, 2014
Jurgen A. Doornik
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Further study on the conformable fractional Gauss hypergeometric\n function [PDF]

, 2020
M. Abul‐Ez, Mohra Zayed, Ali Youssef
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Probability density functions involving a generalized r–Gauss hypergeometric function

Le Matematiche, 2010
The aim of this paper is to study r–generalized gamma functions of a particular form.Moreover, we define a new probability density function (p.d.f) involving these new generalized functions.
Y. Ben Nakhi, S. L. Kalla
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The evaluation of a weighted sum of Gauss hypergeometric functions and its connection with Galton–Watson processes

, 2020
R. B. Paris, Vladimir Vinogradov
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On the propagation across the big bounce in an open quantum FLRW cosmology. [PDF]

Eur Phys J C Part Fields, 2022
Battista E, Steinacker HC.
europepmc   +1 more source

Transformations of Gauss hypergeometric functions

Transformations of Gauss hypergeometric functions
The paper classifies algebraic transformations of Gauss hypergeometric functions and pull-back transformations between hypergeometric differential equations. This classification recovers the classical transformations of degree 2, 3, 4, 6, and finds other transformations of some special classes of the Gauss hypergeometric function.
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