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Title: Monomial and Rodrigues orthogonal polynomials on the cone
Author: Aktaş, Rabia
Branquinho, Amílcar
Foulquié-Moreno, Ana
Xu, Yuan
Keywords: Orthogonal polynomials
Monomial polynomials
Rodrigues formula
Laguerre and Jacobi
Issue Date: 15-Jun-2023
Publisher: Elsevier
Abstract: We study two families of orthogonal polynomials with respect to some weight on the cone. The first family are monomials polynomials and we provide an explicit constructions them. The second family consists of orthogonal polynomials defined by the Rodrigues type formula when the scalar measure defining our measure on the cone is the Laguerre or the Jacobi weight, which satisfies a generating function in both cases. The two families of polynomials are partially biorthogonal.
Peer review: yes
DOI: 10.1016/j.jmaa.2022.126977
ISSN: 0022-247X
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Appears in Collections:CIDMA - Artigos
DMat - Artigos
CHAG - Artigos

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