Third degree classical forms

DOI10.1016/S0168-9274(02)00189-7zbMath1013.33004OpenAlexW2156032640MaRDI QIDQ1861951

Yanyan Li

Publication date: 10 March 2003

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(02)00189-7

zbMATH Keywords

orthogonal polynomialsclassical formsthird degree forms

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Applications of hypergeometric functions (33C90)

Related Items (12)

Basic theory of finite-type relations between orthogonal polynomial sequences ⋮ On the characterizations of third-degree semiclassical forms via polynomial mappings ⋮ 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 ⋮ Characterization of theD-Laguerre–Hahn orthogonal polynomials of class one via the cubic decomposition ⋮ A description via third degree character of quasi-symmetric semiclassical forms of class two ⋮ On some perturbed \(q\)-Laguerre-Hahn orthogonal \(q\)-polynomials ⋮ Third-degree semiclassical forms of class one arising from cubic decomposition ⋮ A description of second degree semiclassical forms of class two arising via cubic decomposition ⋮ Characterizations of a special family of third-degree semi-classical forms of class one

Cites Work

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• Two-dimensional orthogonal polynomials, their associated sets and the co- recursive sets
• Variations around classical orthogonal polynomials. Connected problems
• On \(d\)-orthogonal Tchebychev polynomials. I
• Second degree classical forms
• Second degree semi-classical forms of class \(s=1\). The symmetric case
• The genetic sums' representation for the moments of a system of Stieltjes functions and its application
• An introduction to second degree forms
• The connection between self-associated two-dimensional vector functionals and third degree forms
• Symmetric laguerre-hahn forms of classs=1

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