A Note on the New Extended Beta and Gauss Hypergeometric Functions

Authors

Anjali Goswami, College of Science and Theoretical Studies, Main Branch Riyadh, Female, Saudi Electronic University, Abu Bakr Street, PO. Box: 93499, Riyadh, KSAFollow
Shilpi Jain, Department of Mathematics, Poornima College of Engineering, Jaipur 302022, IndiaFollow
Praveen Agarwal, International Center for Basic and Applied Sciences, Jaipur-302029, India and Department of Mathematics, Anand International College of Engineering, Jaipur-303012, IndiaFollow
Serkan Araci, Department of Economics, Faculty of Economics, Administrative and Social Sciences, Hasan Kalyoncu University, TR-27410 Gaziantep, TurkeyFollow

Author Country (or Countries)

Turkey

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.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/120113

Recommended Citation

Goswami, Anjali; Jain, Shilpi; Agarwal, Praveen; and Araci, Serkan (2018) "A Note on the New Extended Beta and Gauss Hypergeometric Functions," Applied Mathematics & Information Sciences: Vol. 12: Iss. 1, Article 13.
DOI: http://dx.doi.org/10.18576/amis/120113
Available at: https://digitalcommons.aaru.edu.jo/amis/vol12/iss1/13