The second-order self-associated orthogonal sequences

DOI10.1155/S1110757X04402058zbMath1090.42014MaRDI QIDQ2570880

Yanyan Li

Publication date: 31 October 2005

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

Full work available at URL: https://eudml.org/doc/52440

zbMATH Keywords

orthogonal polynomialsintegral representationdifferential equationassociated sequencestructure relationdual sequence

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 (12)

Basic theory of finite-type relations between orthogonal polynomial sequences ⋮ On the extended connection coefficients between two orthogonal polynomial sequences ⋮ Stability of third degree linear functionals and rational spectral transformations ⋮ A general method for deriving some semi-classical properties of perturbed second degree forms: the case of the Chebyshev form of second kind ⋮ On connection coefficients of some perturbed of arbitrary order of the Chebyshev polynomials of second kind ⋮ A family of second degree semi-classical forms of class \(s=1\) ⋮ Characterization of basic sets of orthogonalq-polynomials via someq-difference equations ⋮ Characterizations of a special family of Laguerre-Hahn forms of class one ⋮ Division problem of a regular form: the case \(x^2u=\lambda xv\) ⋮ 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-order self-associated orthogonal polynomial sequences

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