Gauss hypergeometric function - Open Access .click

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Fourier transform representation of the generalized hypergeometric functions with applications to the confluent and Gauss hypergeometric functions

Applied Mathematics and Computation, 2015
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Mohammed H. Al-Lail, Asghar Qadir
openaire +1 more source

Introduction: the Euler−Gauss Hypergeometric Function

2011
The binomial series \({(1 + x)}^{\alpha } ={ \sum \nolimits }_{n=0}^{\infty }\frac{\alpha (\alpha - 1)\cdots (\alpha - n + 1)} {n!} {x}^{n},\quad \vert x\vert < 1\) is the generating function of binomial coefficients \(\left (\begin{array}{*{10}c} \alpha \\ n \end{array} \right )=\frac{\alpha (\alpha - 1)\cdots (\alpha - n + 1)} {n!}.\)A hypergeometric
Kazuhiko Aomoto, Michitake Kita
openaire +1 more source

Multiple orthogonal polynomials with respect to Gauss' hypergeometric function

Studies in Applied Mathematics, 2022
Ana F Loureiro, Helder Lima
exaly

On uniform-negative binomial distribution including Gauss hypergeometric function and its application in count regression modeling

Communications in Statistics - Theory and Methods, 2021
Deepesh Bhati
exaly

Gauss Hypergeometric Function

+4 more sources

A New Extension of the τ-Gauss Hypergeometric Function and Its Associated Properties

Mathematics, 2019
Kottakkaran Sooppy Nisar, Ilyas Khan, Gauhar Rahman +2 more
exaly

On some new contiguous relations for the Gauss hypergeometric function with applications

Computers and Mathematics With Applications, 2011
Medhat Rakha
exaly

A Study of the S-Generalized Gauss Hypergeometric Function and Its Associated Integral Transforms

Turkish Journal of Analysis and Number Theory, 2016
Hari M Srivastava
exaly