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NEW GENERALIZATIONS OF EXTENDED BETA AND HYPERGEOMETRIC FUNCTIONS
Far East Journal of Theoretical Statistics, 2018Summary: 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, 2018A 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, 2016Motivated 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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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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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), 2017Shahid Mubeen +4 more
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AN EXTENDED BETA FUNCTION AND ITS APPLICATIONS
Far East Journal of Mathematical Sciences (FJMS), 2018Mohd Shadab, Saima Jabee, Junesang Choi
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A NEW EXTENDED BETA FUNCTION INVOLVING GENERALIZED MITTAG-LEFFLER FUNCTION AND IT’S APPLICATIONS
Stardom Scientific Journals of Natural and Engineering SciencesThe 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.
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Golimumab and Beta-Cell Function in Youth with New-Onset Type 1 Diabetes
New England Journal of Medicine, 2020Teresa Quattrin +2 more
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