The connection between self-associated two-dimensional vector functionals and third degree forms

DOI10.1023/A:1018941924408zbMath0943.42013OpenAlexW154471092MaRDI QIDQ1968641

Yanyan Li

Publication date: 21 March 2000

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1018941924408

zbMATH Keywords

integral representationsLaguerre-Hahn polynomialsStieltjes functionsthird degree forms\(2\)-orthogonal polynomials

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 (11)

On the characterizations of third-degree semiclassical forms via polynomial mappings ⋮ Stability of third degree linear functionals and rational spectral transformations ⋮ Characterization of the symmetricD-Laguerre–Hahn orthogonal polynomial sequences of even class via the quadratic decomposition ⋮ 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 ⋮ On semi‐classical d‐orthogonal polynomials ⋮ On the Christoffel product of a \(D\)-Laguerre-Hahn form by a polynomial of one degree ⋮ Characterizations of a special family of third-degree semi-classical forms of class one ⋮ Third degree classical forms

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