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Some Results of Extended Beta Function and Hypergeometric Functions by Using Wiman’s Function
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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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 Beta and Gamma Matrix Functions via 2-Parameter Mittag-Leffler Matrix Function
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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On Extended Beta Function and Related Inequalities
MathematicsIn this article, we consider a unified generalized version of extended Euler’s Beta function’s integral form a involving Macdonald function in the kernel. Moreover, we establish functional upper and lower bounds for this extended Beta function.
Rakesh K. Parmar +2 more
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Exploring the Extended Beta-Logarithmic Function: Matrix Arguments and Properties
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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Journal of Inequalities and ApplicationsThe fundamental aim of this article is to investigate an extension of the generalized Beta function introduced in (Chaudhry et al. in J. Comput. Appl. Math. 78(1):19–32, 1997) from two variables to three or more variables. The properties of such extended
Nawal Helal Al-harbi +1 more
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Approximation Properties of an Extended Family of the Szász–Mirakjan Beta-Type Operators
Axioms, 2019 Approximation and some other basic properties of various linear and nonlinear operators are potentially useful in many different areas of researches in the mathematical, physical, and engineering sciences.
Hari Mohan Srivastava +2 more
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New extension of beta, Gauss and confluent hypergeometric functions
Cumhuriyet Science Journal, 2021 There are many extensions and generalizations of Gamma and Beta functions in the literature. However, a new extension of the extended Beta function B_(ζ〖, α〗_1)^(α_2;〖 m〗_1,〖 m〗_2 ) (a_1,a_2 ) was introduced and presented here because of its important ...
Umar Muhammad Abubakar +1 more
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A Note on the New Extended Beta Function with Its Application
Journal of Mathematics, 2021 The purpose of this research is to provide a systematic review of a new type of extended beta function and hypergeometric function using a confluent hypergeometric function, as well as to examine various belongings and formulas of the new type of ...
Vandana Palsaniya +3 more
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An Extension of Beta Function by Using Wiman’s Function
Axioms, 2021 The main purpose of this paper is to study extension of the extended beta function by Shadab et al. by using 2-parameter Mittag-Leffler function given by Wiman.
Rahul Goyal +3 more
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