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Korean Mathematical Society
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Commun. Korean Math. Soc. 2021; 36(2): 299-312
Online first article December 22, 2020 Printed April 30, 2021
https://doi.org/10.4134/CKMS.c200208
Copyright © The Korean Mathematical Society.
A generalization of the Laguerre polynomials
Asad Ali
University of Agriculture Faisalabad
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
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