Results 31 to 40 of about 251,489 (270)
Some inequalities involving two generalized beta functions in n variables
Journal of Inequalities and Applications, 2021 The beta and gamma functions have recently seen several developments and various extensions because of their nice properties and interesting applications. The contribution of this paper falls within this framework.
Mustapha Raïssouli, Salma I. El-Soubhy
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Some generalised extended incomplete beta functions and applications
Journal of New Results in Science, 2022 This paper introduces generalised incomplete beta functions defined by the generalised beta function. Firstly, we provide some of the generalised beta function's basic properties, such as integral representations, summation formulas, Mellin transform, and beta distribution.
Oğuz Yağcı +3 more
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An extension of beta function, its statistical distribution, and associated fractional operator
Advances in Difference Equations, 2020 Recently, various forms of extended beta function have been proposed and presented by many researchers. The principal goal of this paper is to present another expansion of beta function using Appell series and Lauricella function and examine various ...
Ankita Chandola +3 more
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Extension of exton's hypergeometric function K16
Cubo, 2021 The purpose of this article is to introduce an extension of Exton's hypergeometric function K16 by using the extended beta function given by Özergin et al. [11].
Ahmed Ali Atash, Maisoon Ahmed Kulib
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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.
Daya K. Nagar +2 more
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Generalized Wright Function and Its Properties Using Extended Beta Function
Tamkang Journal of Mathematics, 2020 Solving a linear partial differential equation witness a noteworthy role of Wright function. Due to its usefulness and various applications, a variety of its extentions (and generalizations) have been investigated and presented. The purpose and design of the paper is intended to study and come up with a new extention of the genralized Wright function by
Nabiullah Khan, Talha Usma, Mohd Aman
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ON A NEW GENERALIZED BETA FUNCTION DEFINED BY THE GENERALIZED WRIGHT FUNCTION AND ITS APPLICATIONS
Malaysian Journal of Computing, 2021 Various extensions of classical gamma, beta, Gauss hypergeometric and confluent hypergeometric functions have been proposed recently by many researchers. In this paper, further generalized extended beta function with some of its properties like summation
Umar Muhammad Abubakar, Saroj Patel
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EXTENSION OF EXTENDED BETA, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS
Honam Mathematical Journal, 2014 Summary: Recently several authors have extended the gamma function, beta function, the hypergeometric function, and the confluent hypergeometric function by using their integral representations and provided many interesting properties of their extended functions.
Choi, Junesang +2 more
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Bounds for the (p, ν)-extended beta function and certain consequences
Journal of mathematical inequalities, 2023 Our main goal in this article is to present both upper and lower bounds for the (p, nu)extended Gauss' hypergeometric function and the related confluent hypergeometric (or Kummer's) function, the modified Bessel function of the second kind, with the extended Gautschi- Pinelis inequality (upper bounds) and with the aid of the classical Bernoulli ...
Gradimir V. Milovanović +2 more
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Analysis of Generalized Bessel–Maitland Function and Its Properties
Axioms, 2023 In this article, we introduce the generalized Bessel–Maitland function (EGBMF) using the extended beta function and some important properties obtained.
Talha Usman +2 more
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