The complementary polynomials and the Rodrigues operator of classical orthogonal polynomials

DOI10.1090/S0002-9939-2012-11229-8zbMath1281.33006OpenAlexW2078590873MaRDI QIDQ2845865

Francisco Marcellán, Roberto S. Costas-Santos

Publication date: 3 September 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2012-11229-8

zbMATH Keywords

classical orthogonal polynomialsRodrigues operatorcomplementary polynomialsgenerating formula

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Cites Work

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• On the \(q\)-polynomials: A distributional study

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