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NEW GENERALIZATIONS OF EXTENDED BETA AND HYPERGEOMETRIC FUNCTIONS

Far East Journal of Theoretical Statistics, 2018
Summary: Motivated by the generalizations of extended beta and hypergeometric functions, we introduce, in this paper, further generalizations of these functions. Some integral representations, properties, Mellin transformations, recurrence relations, and new statistical probability distributions are obtained for these new generalizations.
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A Note on the New Extended Beta and Gauss Hypergeometric Functions

Applied Mathematics & Information Sciences, 2018
A variety of extensions of the classical beta function and the Gauss hypergeometric function 2F1 have been presented and investigated. In this sequel, we aim to give a further extension of the extended beta function, which is used to extend the 2F1 and the confluent hypergeometric function 1F1.
Goswami, Anjali   +3 more
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Certain properties of extended complete and incomplete beta functions

AIP Conference Proceedings, 2016
Motivated by certain recent extensions of the Euler’s beta, Gauss’s hypergeometric and confluent hypergeometric functions [7], we establish certain relations between the integral of the incomplete extended beta function and the complete extended beta function.
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A Comparative Analysis of Modified Extended Fractional Derivative and Integral Operators via Modified Extended Beta Function with Applications to Generating Functions

2021
This article object is to introduce new extension of the extended beta, Gauss hypergeometric, Appell hypergeometric and Lauricella hypergeometric functions. The new extension of the extended Riemann-Liouville, Caputo and Kober-Erdelyi fractional derivative and integral operators are also examined with their applications to generating functions by ...
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AN EXTENDED BETA FUNCTION AND ITS PROPERTIES

Far East Journal of Mathematical Sciences (FJMS), 2017
Shahid Mubeen   +4 more
openaire   +1 more source

AN EXTENDED BETA FUNCTION AND ITS APPLICATIONS

Far East Journal of Mathematical Sciences (FJMS), 2018
Mohd Shadab, Saima Jabee, Junesang Choi
openaire   +1 more source

A NEW EXTENDED BETA FUNCTION INVOLVING GENERALIZED MITTAG-LEFFLER FUNCTION AND IT’S APPLICATIONS

Stardom Scientific Journals of Natural and Engineering Sciences
The main object of this paper is to introduce a new extension of the beta function involving the generalized Mittag-leffler function and study its important properties, like integral representation, summation formula, derivative formula, beta distribution and transform formula.
openaire   +1 more source

Golimumab and Beta-Cell Function in Youth with New-Onset Type 1 Diabetes

New England Journal of Medicine, 2020
Teresa Quattrin   +2 more
exaly  

Evolving flexible beta basis function neural tree using extended genetic programming & Hybrid Artificial Bee Colony

Applied Soft Computing Journal, 2016
Souhir Bouaziz   +2 more
exaly  

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