Results 201 to 210 of about 12,448 (236)

Extended Gauss Hypergeometric Matrix Functions

Iranian Journal of Science and Technology, Transactions A: Science, 2017
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Abdalla, Mohamed, Bakhet, A.
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EXTENDED GENERALIZED τ -GAUSS’ HYPERGEOMETRIC FUNCTIONS AND THEIR APPLICATIONS

South East Asian J. of Mathematics and Mathematical Sciences, 2022
In this article, by means of the extended beta function, we introduce new extension of the generalized τ -Gauss’ hypergeometric functions and present some new integral and series representations (including the one obtained by adopt- ing the well-known Ramanujan’s Master Theorem).
Chauhan, Bharti, Rai, Prakriti
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Generating functions for the generalized Gauss hypergeometric functions

Applied Mathematics and Computation, 2014
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Srivastava, H. M., Agarwal, Praveen, Jain, Shilpi   +2 more
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Extension of Pochhammer symbol, generalized hypergeometric function and τ-Gauss hypergeometric function

Analysis
Abstract We introduce new extension of the extended Pochhammer symbol and gamma function by using the extended Mittag-Leffler function. We also present extension of the generalized hypergeometric function as well as some of their special cases by using this extended Pochhammer symbol.
Komal Singh Yadav, Bhagwat Sharan, Ashish Verma   +2 more
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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
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On the Computation of Gauss Hypergeometric Functions

The American Statistician, 2015
The pioneering study undertaken by Liang etal. in 2008 (Journal of the American Statistical Association, 103, 410-423) and the hundreds of papers citing that work make use of certain hypergeometric functions. Liang etal. and many others claim that the computation of the hypergeometric functions is difficult.
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The Gauss Hypergeometric Ratio As a Positive Real Function

SIAM Journal on Mathematical Analysis, 1982
The Gauss continued fraction for the ratio of two hypergeometric functions is converted into an ordinary fraction (all partial numerators are 1) and simplifications occurring for particular relations between the parameters are discussed. In particular, a very simple expansion is obtained for the ratio ${E /K}$ of the complete elliptic integrals.
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Integrals involving products of G-function and Gauss's hypergeometric function

Mathematical Proceedings of the Cambridge Philosophical Society, 1964
1. The main object of this note is to evaluate two definite integrals involving the product of Meijer's G-function with Gauss's hypergeometric function. The first result established in this paper is the extension of the results recently given by Saxena ((3), page 490) in these proceedings and includes both of his results given there as particular cases.
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Spin-Induced Black Hole Scalarization in Einstein-Scalar-Gauss-Bonnet Theory

Physical Review Letters, 2021
Emanuele Berti, Lucas, Burkhard Kleihaus
exaly  

Gauss hypergeometric function

  +4 more sources