A generalization of the Laguerre polynomials 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. Keywords : Laguerre polynomials, generalized polynomials, generalized hypergeometric series, generating functions, recurrence relations, differential equation, Rodrigues formula, orthogonality MSC numbers : Primary 33C10, 33C20; Secondary 33C45, 44A10 Downloads: Full-text PDF   Full-text HTML