Extended k-Gamma and k-Beta Functions of Matrix Arguments [PDF]
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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Inequalities for Beta and Gamma functions via some classical and new integral inequalities [PDF]
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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Some Characterizations of the Extended Beta and Gamma Functions: Properties and Applications [PDF]
International Journal of Material and Mathematical Sciences, 2021 The article represents the elementary and general introduction of some characterizations of the extended gamma and beta Functions and their important properties with various representations.
Bachioua Lahcene
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Extended Beta and Gamma Matrix Functions via 2-Parameter Mittag-Leffler Matrix Function [PDF]
Mathematics, 2022 The main aim of this article is to study an extension of the Beta and Gamma matrix functions by using a two-parameter Mittag-Leffler matrix function. In particular, we investigate certain properties of these extended matrix functions such as symmetric ...
Rahul Goyal +3 more
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Estimates of Gamma and Beta Functions
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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q,k-generalized gamma and beta functions [PDF]
, 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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Cumhuriyet Science Journal, 2022 When the literature is examined, it is seen that there are many studies on the generalizations of gamma, beta and hypergeometric functions. In this paper, new types of generalized gamma and beta functions are defined and examined using the Wright ...
Enes Ata, İ. Onur Kıymaz
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Expansions of the solutions of the biconfluent Heun equation in terms of incomplete Beta and Gamma functions [PDF]
, 2016 Starting from equations obeyed by functions involving the first or the second derivatives of the biconfluent Heun function, we construct two expansions of the solutions of the biconfluent Heun equation in terms of incomplete Beta functions.
Gevorgyan, M. R. +4 more
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On the Matrix Versions of Incomplete Extended Gamma and Beta Functions and Their Applications for the Incomplete Bessel Matrix Functions [PDF]
Complexity, 2021 In this paper, we first introduce the incomplete extended Gamma and Beta functions with matrix parameters; then, we establish some different properties for these new extensions. Furthermore, we give a specific application for the incomplete Bessel matrix
Chaojun Zou +3 more
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Generalized Extended Matrix Variate Beta and Gamma Functions and Their Applications [PDF]
Ingeniería y Ciencia, 2016 In this article, we define and study generalized forms of extended matrix variate gamma and beta functions. By using a number of results from matrix algebra, special functions of matrix arguments and zonal polynomials we derive a number of properties of ...
Daya K. Nagar +2 more
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