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Journal of Inequalities and Applications
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Some inequalities involving two generalized beta functions in n variables

بعض المتباينات التي تنطوي على دالتين بيتا معممتين في n من المتغيرات
Authors: Mustapha Raïssouli; S. I. El-Soubhy;

Some inequalities involving two generalized beta functions in n variables

Abstract

AbstractThe 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. After introducing a generalized gamma function and two generalized beta functions in several variables, we investigate some inequalities involving these generalized functions.

Keywords

Extended beta function in n variables, Evolutionary biology, Relationship between string theory and quantum field theory, Matrix Inequalities and Geometric Means, Mathematical analysis, Quantum mechanics, Beta function in n variables, Orthogonal Polynomials, Quantum, beta function, Beta function, gamma function, beta function in \(n\) variables, inequalities, Beta function (physics), QA1-939, FOS: Mathematics, Gamma, beta and polygamma functions, Biology, Generalized integer gamma distribution, BETA (programming language), generalized beta function in \(n\) variables, Distribution (mathematics), extended beta function in \(n\) variables, Applied Mathematics, Physics, FOS: Clinical medicine, Pure mathematics, Quantum gravity, Stability of Functional Equations in Mathematical Analysis, Generalized function, Computer science, Programming language, Gamma Function, Inequality, Generalized beta function in n variables, Function (biology), Gamma function, Dentistry, Physical Sciences, Medicine, Inequalities, Inequalities involving other types of functions, Calculus (dental), Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
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