Results 181 to 190 of about 614 (214)

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
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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Surface Reconstruction from Point Clouds without Normals by Parametrizing the Gauss Formula

ACM Transactions on Graphics, 2023
Siyou Lin, Dong Xiao, Zuoqiang Shi
exaly  

Effect of the magnetic charge on weak deflection angle and greybody bound of the black hole in Einstein-Gauss-Bonnet gravity

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 2022
Wajiha Javed, Ali Övgün
exaly  

Gravitational lensing in 4-D Einstein–Gauss–Bonnet gravity in the presence of plasma

Physics of the Dark Universe, 2021
Gulmina Zaman Babar, Farruh Atamurotov
exaly