Characterizations of a special family of third-degree semi-classical forms of class one

DOI10.1080/10652469.2012.688747zbMath1276.33010OpenAlexW1975175676MaRDI QIDQ2841925

Imed Ben Salah, Najoua Barhoumi

Publication date: 30 July 2013

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

Full work available at URL: https://doi.org/10.1080/10652469.2012.688747

zbMATH Keywords

semi-classical polynomialsStieltjes functionsquadratic decompositionthird degree-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 (6)

Stability of third degree linear functionals and rational spectral transformations ⋮ A description via second degree character of a family of quasi-symmetric forms ⋮ 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 ⋮ A description via third degree character of quasi-symmetric semiclassical forms of class two ⋮ Third-degree semiclassical forms of class one arising from cubic decomposition

Cites Work

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• Third degree classical forms
• An introduction to second degree forms
• The connection between self-associated two-dimensional vector functionals and third degree forms
• The second-order self-associated orthogonal sequences
• A differential equation for orthogonal polynomials
• Q-extension of some symmetrical and semi-classical orthogonal polynomials of class one
• Symmetric laguerre-hahn forms of classs=1
• Über Orthogonalpolynome, die q‐Differenzengleichungen genügen

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