Commun. Korean Math. Soc. 2021 Vol. 36, No. 2, 299-312 https://doi.org/10.4134/CKMS.c200208 Published online December 22, 2020 Printed April 30, 2021
Asad Ali University of Agriculture Faisalabad
Abstract : The main aim of this paper is to introduce and study the generalized Laguerre polynomials and prove that these polynomials are characterized by the generalized hypergeometric function. Also we investigate some properties and formulas for these polynomials such as explicit representations, generating functions, recurrence relations, differential equation, Rodrigues formula, and orthogonality.