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A note on extended beta function involving generalized Mittag-Leffler function and its applications

Authors: Khan, Nabiullah; Husain, Saddam;

A note on extended beta function involving generalized Mittag-Leffler function and its applications

Abstract

The main object of this paper is to introduce a new extension of beta function involving generalized Mittag-leffler function and study its important properties, like integral representation, summation formula, derivative formula, beta distribution, transform formula. Using this definition, we introduce new extended hypergeometric and confluent hypergeometric function. Publisher's Version

Country
Turkey
Keywords

Beta function, Confluent hypergeometric function, Gamma function, Hypergeometric function, Beta distribution

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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!
0
Average
Average
Average
Green