A Generalization of Laguerre polynomials
Commun. Korean Math. Soc.
Published online December 22, 2020
Asad ali
University of Agriculture Faisalabad
Abstract : The main aim of this paper to introduce and study the generalized Laguerre polynomials and prove that these polynomials are characterized by the generalized hypergeometric function. Also 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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