On discrete Hahn's theorem

DOI10.4418/2024.79.1.9MaRDI QIDQ6619724

Emna Abassi

Publication date: 16 October 2024

Published in: Le Matematiche (Search for Journal in Brave)

zbMATH Keywords

divided difference operatordiscrete classical orthogonal polynomialsHahn's theorem

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) Discrete version of topics in analysis (39A12) Difference operators (39A70)

Cites Work

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• Variations around classical orthogonal polynomials. Connected problems
• The \(D_ \omega\)-classical orthogonal polynomials
• The \(H_q\)-classical orthogonal polynomials
• Über die Jacobischen Polynome und zwei verwandte Polynomklassen
• Über höhere Ableitungen von Orthogonalpolynomen.
• Discrete semi-classical orthogonal polynominals
• Orthogonal polynomials with orthogonal derivatives
• On higher derivatives of orthogonal polynomials.

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