Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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NEW GENERALIZATION OF THE WRIGHT SERIES IN TWO VARIABLES AND ITS PROPERTIES

  • Belafhal, Abdelmajid (LPNAMME, Laser Physics Group Department of Physics Faculty of Sciences Chouaib Doukkali University) ;
  • Chib, Salma (LPNAMME, Laser Physics Group Department of Physics Faculty of Sciences Chouaib Doukkali University) ;
  • Usman, Talha (Department of Mathematics School of Basic and Applied Sciences Lingaya's Vidyapeeth)
  • Received : 2021.01.05
  • Accepted : 2021.04.15
  • Published : 2022.01.31
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Abstract

The main aim of this paper is to introduce a new generalization of the Wright series in two variables, which is expressed in terms of Hermite polynomials. The properties of the freshly defined function involving its auxiliary functions and the integral representations are established. Furthermore, a Gauss-Hermite quadrature and Gaussian quadrature formulas have been established to evaluate some integral representations of our main results and compare them with our theoretical evaluations using graphical simulations.

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References

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