On classical orthogonal polynomials related to Hahn's operator

DOI10.1080/10652469.2019.1702981zbMath1442.42060arXiv1909.13752OpenAlexW2996107654MaRDI QIDQ5113860

Renato Álvarez-Nodarse, D. Mbouna, J. Petronilho, Kenier Castillo

Publication date: 18 June 2020

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.13752

zbMATH Keywords

orthogonal polynomialsregularity conditionsHahn's operatormoment linear functionals

Mathematics Subject Classification ID

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)

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Cites Work

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• Variations around classical orthogonal polynomials. Connected problems
• The \(H_q\)-classical orthogonal polynomials
• Hypergeometric Orthogonal Polynomials and Their q-Analogues
• On the solution of some distributional differential equations: existence and characterizations of the classical moment functionals
• Über Orthogonalpolynome, die q‐Differenzengleichungen genügen
• On the \(q\)-polynomials: A distributional study
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