Results 21 to 30 of about 716,774 (241)
Inequalities of extended Beta and extended hypergeometric functions [PDF]
arXiv, 2016 This paper studies the log-convexity of the extended beta functions. As a consequence, Tur\'an-type inequalities are established.The monotonicity, log-convexity, log-concavity of extended hypergeometric functions are deduced by using the inequalities on extended beta functions,.
Saiful R. Mondal
arxiv +3 more sources
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
doaj +2 more sources
AIMS MathematicsThis paper aimed to obtain generalizations of both the logarithmic mean ($ \text{L}_{mean} $) and the Euler's beta function (EBF), which we call the extended logarithmic mean ($ \text{EL}_{mean} $) and the extended Euler's beta-logarithmic function ...
Mohammed Z. Alqarni , Mohamed Abdalla
doaj +2 more sources
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
openalex +4 more sources
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
openalex +3 more sources
EXTENSION OF EXTENDED BETA, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS
Honam Mathematical Journal, 2014 Recently several authors have extended the Gamma function, Beta function, the hypergeometric function, and the con-fluent hypergeometric function by using their integral representa-tions and provided many interesting properties of their extended functions.
Junesang Choi +2 more
openalex +4 more sources
Criterion of perturbativity with the mass-dependent beta function in extended Higgs models
Physical Review DIn order to realize an electroweak first-order phase transition, a category of extended Higgs models with relatively large self-coupling constants is often considered. In such a scenario, the running coupling constants can blow up at an energy scale much below the Planck scale.
Shinya Kanemura, Yushi Mura
openalex +2 more sources
Advances in Mathematical Physics, 2021 In this paper, a beta operator is used with Caputo Marichev-Saigo-Maeda (MSM) fractional differentiation of extended Mittag-Leffler function in terms of beta function.
Tayyaba Manzoor +3 more
doaj +3 more sources
SOME INEQUALITIES FOR AN EXTENDED BETA FUNCTION [PDF]
International Journal of Apllied Mathematics, 2021 Mustapha Räıssouli, Mohamed Chergui
openalex +2 more sources
A new Generalization of Extended Beta and Hypergeometric Functions
, 2018 A new generalization of extended beta function and its various properties,integral representations and distribution are given in this paper. In addition, we establishthe generalization of extended hypergeometric and con uent hypergeometric functionsusing the newly extended beta function.
Kottakkaran Sooppy Nisar +2 more
openalex +4 more sources