Investigation of Extended k-Hypergeometric Functions and Associated Fractional Integrals
| Autor: | Bahri-Belkacem Cherif, Muajebah Hidan, Mohamed Abdalla, Salah Boulaaras |
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| Rok vydání: | 2021 |
| Předmět: |
Pure mathematics
Current (mathematics) Article Subject Differential equation General Mathematics 010102 general mathematics General Engineering 010103 numerical & computational mathematics Function (mathematics) Extension (predicate logic) Engineering (General). Civil engineering (General) 01 natural sciences Probability theory Special functions Convergence (routing) QA1-939 TA1-2040 0101 mathematics Hypergeometric function Mathematics |
| Zdroj: | Mathematical Problems in Engineering, Vol 2021 (2021) |
| ISSN: | 1563-5147 1024-123X |
| Popis: | Hypergeometric functions have many applications in various areas of mathematical analysis, probability theory, physics, and engineering. Very recently, Hidan et al. (Math. Probl. Eng., ID 5535962, 2021) introduced the (p, k)-extended hypergeometric functions and their various applications. In this line of research, we present an expansion of the k-Gauss hypergeometric functions and investigate its several properties, including, its convergence properties, derivative formulas, integral representations, contiguous function relations, differential equations, and fractional integral operators. Furthermore, the current results contain several of the familiar special functions as particular cases, and this extension may enrich the theory of special functions. |
| Databáze: | OpenAIRE |
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