Some Results of Extended Beta Function and Hypergeometric Functions by Using Wiman’s Function [PDF]
Mathematics, 2021 The main aim of this research paper is to introduce a new extension of the Gauss hypergeometric function and confluent hypergeometric function by using an extended beta function.
Shilpi Jain +4 more
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Analytic study and statistical enforcement of extended beta functions imposed by Mittag-Leffler and Hurwitz-Lerch Zeta functions [PDF]
MethodsXSpecial Function Theory is used in many mathematical fields to model scientific progress, from theoretical to practical. This helps efficiently analyze the newly expanded Beta class of functions on a complicated domain.
Faten F. Abdulnabi +2 more
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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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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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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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Exploring the Extended Beta-Logarithmic Function: Matrix Arguments and Properties [PDF]
MathematicsThe beta-logarithmic function substantially generalizes the standard beta function, which is widely recognized for its significance in many applications.
Mohammed Z. Alqarni
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Bounds for novel extended beta and hypergeometric functions and related results [PDF]
Journal of Inequalities and ApplicationsWe introduce a new unified extension of the integral form of Euler’s beta function with a MacDonald function in the integrand and establish functional upper bounds for it.
Rakesh K. Parmar, Tibor K. Pogány
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FURTHER EXTENDED GAMMA AND BETA FUNCTIONS IN TERMS OF GENERALIZED WRIGHT FUNCTION
مجلّة جامعة عدن للعلوم الأساسيّة والتّطبيقيّة, 2020 The main objective of this paper is to introduce a new extension of extended Gamma and Beta functions in terms of generalized Wright function. Various properties of these extended functions are investigated such as integral representations, summation ...
Maisoon Ahmed Hussein Kulib +2 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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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
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