Results 181 to 190 of about 43,514 (215)

Refinements of bullen-type inequalities for s–convex functions via Riemann-Liouville fractional integrals involving Gauss hypergeometric function

Journal of Interdisciplinary Mathematics, 2019
In this paper, the author establishes a new identity for differentiable functions and obtain some new inequalities for differentiable functions based on s–convexity via Riemann-Liouville fractional integrals involving Gauss hypergeometric function.
M. Çakmak
semanticscholar   +1 more source

Recurrence scheme for FDTD-compatible discrete Green's function derived based on properties of Gauss hypergeometric function

Journal Electromagnetic Waves and Applications, 2019
In this paper, the formulation of one-dimensional FDTD (Finite-difference time-domain)-compatible discrete Green's function (DGF) is derived based on the Gauss hypergeometric function (GHF). The properties of GHF make it possible to derive the recurrence
J. Gulgowski, T. Stefański
semanticscholar   +1 more source

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

, 2019
In this article, we propose a new monotonically decreasing count model which includes Gauss hypergeometric function and is suitable for Zero vertex, over dispersed dataset. Though the proposed model includes Gauss hypergeometric function, nevertheless it
D. Bhati, Ishfaq Ahmed
semanticscholar   +1 more source

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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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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On the holonomic systems for the Gauss hypergeometric function and its confluent family of a matrix argument

Istanbul Journal of Mathematics
Hironobu Kimura
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