A note on the new extended beta and gauss hypergeometric functions

Anjali Goswami; Shilpi Jain; Praveen Agarwal; Serkan Araci

doi:10.18576/amis/120113

A note on the new extended beta and gauss hypergeometric functions

Anjali Goswami
, Shilpi Jain
, Praveen Agarwal
, Serkan Araci

Saudi Electronic University
Poornima College of Engineering
International Center for Basic and Applied Sciences
International College of Engineering
Hasan Kalyoncu University

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

33 Scopus citations

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.

Original language	English
Pages (from-to)	139-144
Number of pages	6
Journal	Applied Mathematics and Information Sciences
Volume	12
Issue number	1
DOIs	https://doi.org/10.18576/amis/120113
State	Published - 1 Jan 2018
Externally published	Yes

Keywords

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

Access to Document

10.18576/amis/120113

Cite this

@article{5a45a2257a6c409eb70d4fabd74f0b51,

title = "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.",

keywords = "Beta function, Extended Beta functions, Extended confluent hypergeometric functions, Extended hypergeometric functions, Gamma function",

author = "Anjali Goswami and Shilpi Jain and Praveen Agarwal and Serkan Araci",

note = "Publisher Copyright: {\textcopyright} 2018 NSP Natural Sciences Publishing Cor.",

year = "2018",

month = jan,

day = "1",

doi = "10.18576/amis/120113",

language = "English",

volume = "12",

pages = "139--144",

journal = "Applied Mathematics and Information Sciences",

issn = "1935-0090",

publisher = "Natural Sciences Publishing",

number = "1",

}

TY - JOUR

T1 - A note on the new extended beta and gauss hypergeometric functions

AU - Goswami, Anjali

AU - Jain, Shilpi

AU - Agarwal, Praveen

AU - Araci, Serkan

PY - 2018/1/1

Y1 - 2018/1/1

N2 - 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.

AB - 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.

KW - Beta function

KW - Extended Beta functions

KW - Extended confluent hypergeometric functions

KW - Extended hypergeometric functions

KW - Gamma function

UR - https://www.scopus.com/pages/publications/85040626781

U2 - 10.18576/amis/120113

DO - 10.18576/amis/120113

M3 - Article

AN - SCOPUS:85040626781

SN - 1935-0090

VL - 12

SP - 139

EP - 144

JO - Applied Mathematics and Information Sciences

JF - Applied Mathematics and Information Sciences

IS - 1

ER -

A note on the new extended beta and gauss hypergeometric functions

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this