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
Number of pages	13
Journal	Journal of Analysis
Early online date	12 Nov 2021
DOIs	https://doi.org/10.1007/s41478-021-00363-0
Publication status	E-pub ahead of print - 12 Nov 2021

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

Access to Document

10.1007/s41478-021-00363-0

Embargoed Document

Paris_ExtensionsOfBetaAndRelatedFunctions_Accepted_2021
Accepted author manuscript, 398 KB
Embargo ends: 12/11/22

Cite this

@article{bdce7dc51daf45b3bd5645f5dc78804f,

title = "Extensions of beta and related functions",

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.",

author = "Musharraf Ali and Mohd Ghayasuddin and Paris, {Richard Bruce}",

note = "Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive licence to The Forum D{\textquoteright}Analystes.",

year = "2021",

month = nov,

day = "12",

doi = "10.1007/s41478-021-00363-0",

language = "English",

journal = "Journal of Analysis",

issn = "0971-3611",

publisher = "Springer Science and Business Media B.V.",

}

TY - JOUR

T1 - Extensions of beta and related functions

AU - Ali, Musharraf

AU - Ghayasuddin, Mohd

AU - Paris, Richard Bruce

PY - 2021/11/12

Y1 - 2021/11/12

N2 - 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.

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.

U2 - 10.1007/s41478-021-00363-0

DO - 10.1007/s41478-021-00363-0

M3 - Article

JO - Journal of Analysis

JF - Journal of Analysis

SN - 0971-3611

ER -