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q,k-generalized gamma and beta functions [PDF]
Journal of Nonlinear Mathematical Physics, 2004 We introduce the q,k-generalized Pochhammer symbol. We construct $\Gamma_{q,k}$ and $B_{q,k}$, the q,k-generalized gamma and beta fuctions, and show that they satisfy properties that generalize those satisfied by the classical gamma and beta functions ...
Andrews G., George G., Kac V.
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Estimates of Gamma and Beta Functions [PDF]
Tamap Journal of Mathematics and Statistics, 2019 In this paper, we present and describe some of the most important properties of gamma and beta functions. Some new results on the theory of inequalities for these functions are also given.
F. Chouchene
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Extended k-Gamma and k-Beta Functions of Matrix Arguments
Mathematics, 2020 Various k-special functions such as k-gamma function, k-beta function and k-hypergeometric functions have been introduced and investigated. Recently, the k-gamma function of a matrix argument and k-beta function of matrix arguments have been presented ...
Ghazi S. Khammash +2 more
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Extended matrix variate gamma and beta functions
Journal of Multivariate Analysis, 2013 The paper presents preliminaries involving functions of an matrix argument in order to prepare an apparatus for a matrix variate distribution theory. As an illustration the probability density function of the sum in Theorem 6.1 is found. In Theorem 6.2 the expected value involving two independent random matrices is derived.
Nagar, Daya K. +2 more
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Some properties of Gamma and Beta matrix functions
Applied Mathematics Letters, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jódar, L, Cortés, J.C
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q-Gamma and q-Beta Functions [PDF]
, 2002 Being related to solutions of special types of differential equations, many important functions in analysis are defined in terms of definite integrals.
Victor Kac, Pokman Cheung
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A Study on Novel Extensions for the p-adic Gamma and p-adic Beta Functions
Mathematical and Computational Applications, 2019 In this paper, we introduce the ρ , q -analog of the p-adic factorial function. By utilizing some properties of ρ , q -numbers, we obtain several new and interesting identities and formulas. We then construct the p-adic ρ
Ugur Duran, Mehmet Acikgoz
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Extension of gamma, beta and hypergeometric functions
Journal of Computational and Applied Mathematics, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Özergin, Emine +2 more
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Inequalities for Beta and Gamma functions via some classical and new integral inequalities
Journal of Inequalities and Applications, 2000 In this survey paper we present the natural applications of certain integral inequalities such as Chebychev's inequality for synchronous and asynchronous mappings, Hölder's inequality and Grüss' and Ostrowski's inequalities for the celebrated ...
Agarwal RP, Dragomir SS, Barnett NS
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Fractional Ostrowski-type Inequalities via $(\alpha,\beta,\gamma,\delta)-$convex Function [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this paper, we are introducing for the first time a generalized class named the class of $(\alpha,\beta,\gamma,\delta)-$convex functions of mixed kind.
Ali Hassan +3 more
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