Extensions of beta and related functions

Musharraf Ali; Mohd Ghayasuddin; Richard Bruce Paris

doi:10.1007/s41478-021-00363-0

Extensions of beta and related functions

Musharraf Ali^*, Mohd Ghayasuddin, Richard Bruce Paris

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we introduce and investigate a new extension of the beta function by means of an integral operator involving a product of Bessel-Struve kernel functions. We also define a new extension of the well-known beta distribution, the Gauss hypergeometric function and the confluent hypergeometric function in terms of our extended beta function. In addition, some useful properties of these extended functions are also indicated in a systematic way.

Original language	English
Pages (from-to)	717-729
Number of pages	13
Journal	Journal of Analysis
Volume	30
Issue number	2
Early online date	12 Nov 2021
DOIs	https://doi.org/10.1007/s41478-021-00363-0
Publication status	Published - 1 Jun 2022

Keywords

Beta functions
Extended beta function
Gauss hypergeometric function
Extended Gauss hypergeometric function
Confluent hypergeometric function
Extended confluent hypergeometric function
Bessel-Struve kernel function
Extended beta distribution

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AU - Ali, Musharraf

AU - Ghayasuddin, Mohd

AU - Paris, Richard Bruce

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AB - In this paper, we introduce and investigate a new extension of the beta function by means of an integral operator involving a product of Bessel-Struve kernel functions. We also define a new extension of the well-known beta distribution, the Gauss hypergeometric function and the confluent hypergeometric function in terms of our extended beta function. In addition, some useful properties of these extended functions are also indicated in a systematic way.

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DO - 10.1007/s41478-021-00363-0

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Extensions of beta and related functions

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