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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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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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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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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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A Note on the New Extended Beta Function with Its Application [PDF]
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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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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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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Convexity and inequalities related to extended beta and confluent hypergeometric functions
AIMS Mathematics, 2019 In the paper, the authors establish the logarithmic convexity and some inequalities for the extended beta function and, by using these inequalities for the extended beta function, find the logarithmic convexity and the monotonicity for the extended ...
Feng Qi +2 more
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