A New Extension of the t-Gauss Hypergeometric Function and Its Associated Properties

Date

2019

Authors

Srivastava, H.M.
Tassaddiq, Asifa
Rahman, Gauhar
Nisar, Kottakkaran Sooppy
Khan, Ilyas

Journal Title

Journal ISSN

Volume Title

Publisher

Mathematics

Abstract

In this article, we define an extended version of the Pochhammer symbol and then introduce the corresponding extension of the t-Gauss hypergeometric function. The basic properties of the extended t-Gauss hypergeometric function, including integral and derivative formulas involving the Mellin transform and the operators of fractional calculus, are derived. We also consider some new and known results as consequences of our proposed extension of the t-Gauss hypergeometric function.

Description

Keywords

gamma function and its extension, Pochhammer symbol and its extensions, hypergeometric function and its extensions, t-Gauss hypergeometric function and its extensions, t-Kummer hypergeometric function, Fox-Wright function

Citation

Srivastava, H.M., Tassaddiq, A., Rahman, G., Nisar, K.S. & Khan, I. (2019). A New Extension of the t-Gauss Hypergeometric Function and Its Associated Properties. Mathematics, 7(10), 996. http://dx.doi.org/10.3390/math7100996