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