Some properties of the Eln(r) polynomials

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Type:	Artigo
Title:	Some properties of the Eln(r) polynomials
Author:	D. Gomes, E. Oliveira, Capelas de Notte Cuello, E. A.
Abstract:	We present a new class of polynomials that are solutions of the generalized Laplacedifferential equation, written in spherical coordinates.Differentiation properties, orthogonal-ity, Rodrigues like formula, recurrence relations, generating functions and an integral represen-tation are discussed. As applications we recover the results associated withEn(r)polynomialsand present the solution of Dirac like equation in terms of this new class of polynomials.Key words.Laplace equation; Dirac equation; polynomial solutions; generating function
Subject:	Polinômios
Country:	Alemanha
Editor:	De Gruyter
Rights:	Fechado
Identifier DOI:	10.1515/rose.2007.023
Address:	https://www.degruyter.com/document/doi/10.1515/rose.2007.023/html
Date Issue:	2007
Appears in Collections:	IMECC - Artigos e Outros Documentos

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