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DSpace@HKU
Article . 2020
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Applied Mathematics & Information Sciences
Article . 2018 . Peer-reviewed
Data sources: Crossref
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A Note on the New Extended Beta and Gauss Hypergeometric Functions

Authors: Goswami, Anjali; Jain, Shilpi K.; Agarwal, Praveen; Araci, Serkan;

A Note on the New Extended Beta and Gauss Hypergeometric Functions

Abstract

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. Then we investigate to present certain properties and formulas associated with these three extended functions. The results presented here, being very general, are pointed out to be specialized to yield numerous known and new representations and formulas.

Country
Turkey
Related Organizations
Keywords

Beta function, Gamma function, Extended Beta functions, Extended confluent hypergeometric functions, Extended hypergeometric functions

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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!
18
Top 10%
Top 10%
Top 10%
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