New Generalization of the Wright series in two variables and its properties
Commun. Korean Math. Soc.
Published online July 8, 2021
Abdelmajid Belafhal, Salma Chib, and Talha Usman
Chouaib Doukkali University; Chouaib Doukkali University; Lingaya's Vidyapeeth
Abstract : The main object of the paper is to present a new generalization of the Wright series involving its auxiliary functions in two variables and to introduce its properties in terms of Hermite polynomials. The Mellin-Barnes integral representation and the Mellin transform are also established. Furthermore, a Gauss-Hermite quadrature and Gaussian quadrature formulas have been established to evaluate some integral representations of our main results and compare with the theoretical evaluations using graphical simulations.
Keywords : Generalization of the Wright series; Hermite polynomials; Auxiliary functions; Mellin-Barnes integral representation; Mellin transform
MSC numbers : 33B15, 33C10, 33C15
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