On a New Class of Hypergeometric Function

The major objective of this article is to establish a new function called which is generalization of the generalized hypergeometric function and Mittag-Leffler function and obtain its properties particular differential property, integral representation, derivative formula and some integral transform...

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Veröffentlicht in:Lobachevskii journal of mathematics 2023-06, Vol.44 (6), p.2269-2278
Hauptverfasser: Cesarano, Clemente, Goyal, Rahul, Alshehri, Mansoor, Jain, Shilpi, Agarwal, Praveen
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Sprache:eng
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Zusammenfassung:The major objective of this article is to establish a new function called which is generalization of the generalized hypergeometric function and Mittag-Leffler function and obtain its properties particular differential property, integral representation, derivative formula and some integral transform, Euler transform, Laplace transform, Whittaker transform. We also derived the relations that exist between function with well known special functions. This article also deals with some fractional integral properties of the function using the Riemann–Liouville fractional integrals and derivatives operators.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080223060148