A description via third degree character of quasi-symmetric semiclassical forms of class two

DOI10.1007/s10998-022-00458-6OpenAlexW4220873887MaRDI QIDQ2694908

Mohamed Khalfallah

Publication date: 4 April 2023

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-022-00458-6

zbMATH Keywords

orthogonal polynomialsStieltjes functionthird degree formsclassical and semiclassical forms

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)

Related Items (2)

Characterization theorem for strict third-degree semiclassical forms of class one obtained via cubic decomposition ⋮ Several characterizations of third-degree semiclassical linear forms of class two appearing via cubic decomposition

Cites Work

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• On semi-classical linear functionals of class \(s=1\). Classification and integral representations
• Second degree classical forms
• Third degree classical forms
• An introduction to second degree forms
• The connection between self-associated two-dimensional vector functionals and third degree forms
• A description via second degree character of a family of quasi-symmetric forms
• Characterizations of a special family of third-degree semi-classical forms of class one
• On a family of a semiclassical orthogonal polynomial sequences of class two
• Third-degree semiclassical forms of class one arising from cubic decomposition

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