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Advances in Theoretical & Computational Physics(ATCP)

ISSN: 2639-0108 | DOI: 10.33140/ATCP

Impact Factor: 2.6

From special operators (1-Dx)n+? to Laguerre Polynomials

Abstract

Do Tan Si

Laguerre polynomials Ln α (x) are shown to be the transforms of monomials by the special operators (1-Dx )n+α . From this their current properties such as Rodrigues formula, Lucas symbolic formula, orthogonality, generating functions, etc… are systematically obtained. This success opens the way for the study of special functions from special operators by the powerful operator calculus.

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