A New Extension of the τ-Gauss Hypergeometric Function and Its Associated Properties
Copyright policy )A New Extension of the τ-Gauss Hypergeometric Function and Its Associated Properties
In this article, we define an extended version of the Pochhammer symbol and then introduce the corresponding extension of the τ-Gauss hypergeometric function. The basic properties of the extended τ-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 τ-Gauss hypergeometric function.
- University of Victoria Canada
- Prince Sattam Bin Abdulaziz University Saudi Arabia
- Azerbaijan University Azerbaijan
- Shaheed Benazir Bhutto University Pakistan
- China Medical University Hospital Taiwan
fox-wright function, <i>τ</i>-Gauss hypergeometric function and its extensions, hypergeometric function and its extensions, Pochhammer symbol and its extensions, pochhammer symbol and its extensions, <i>τ</i>-kummer hypergeometric function, gamma function and its extension, QA1-939, Fox-Wright function, <i>τ</i>-gauss hypergeometric function and its extensions, <i>τ</i>-Kummer hypergeometric function, Mathematics
fox-wright function, <i>τ</i>-Gauss hypergeometric function and its extensions, hypergeometric function and its extensions, Pochhammer symbol and its extensions, pochhammer symbol and its extensions, <i>τ</i>-kummer hypergeometric function, gamma function and its extension, QA1-939, Fox-Wright function, <i>τ</i>-gauss hypergeometric function and its extensions, <i>τ</i>-Kummer hypergeometric function, Mathematics
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