Article
A New Generalization of Pochhammer Symbol and Its Applications
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Abstract
In this paper, we introduce a new generalization of the Pochhammer symbol by means of the generalization of extended gamma function (4). Using the generalization of Pochhammer symbol, we give a generalization of the extended hypergeo-metric functions one or several variables. Also, we obtain various integral representations, derivative formulas and certain properties of these functions.
Keywords
gamma function, beta function, Pochhammer symbol, Gauss hypergeometric function, confluent hypergeometric function, Appell hypergeometric functions, Humbert hypergeometric functions of two variables, integral representations, derivative formulas, recurrence relation, Primary 33C20, 33C60, 33D70, Secondary 33C65, 33C90
Citation
Şahin, R. & Yağcı, O. (2020). A new generalization of pochhammer symbol and its applications. Applied Mathematics and Nonlinear Sciences, 5(1), 255–266. https://doi.org/10.2478/amns.2020.1.00023
R. Şahin and O. Yağcı, “A new generalization of pochhammer symbol and its applications,” Applied Mathematics and Nonlinear Sciences, vol. 5, no. 1, pp. 255–266, 2020, doi: 10.2478/amns.2020.1.00023.
Şahin R, Yağcı O. A new generalization of pochhammer symbol and its applications. Applied Mathematics and Nonlinear Sciences. 2020;5(1):255–266. doi:10.2478/amns.2020.1.00023.
Şahin, R. and Yağcı, O. (2020), ‘A new generalization of pochhammer symbol and its applications’, Applied Mathematics and Nonlinear Sciences, 5(1), pp. 255–266. Available at: https://doi.org/10.2478/amns.2020.1.00023.
Şahin, Recep, and Oğuz Yağcı. “A New Generalization of Pochhammer Symbol and Its Applications.” Applied Mathematics and Nonlinear Sciences, vol. 5, no. 1, 2020, pp. 255–266. https://doi.org/10.2478/amns.2020.1.00023.
Şahin, Recep, and Oğuz Yağcı. “A New Generalization of Pochhammer Symbol and Its Applications.” Applied Mathematics and Nonlinear Sciences 5, no. 1 (2020): 255–266. https://doi.org/10.2478/amns.2020.1.00023.
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Published by: Engineering Journals
