Linear combinations of \(d\)-orthogonal polynomials

DOI10.1007/s40840-017-0589-2zbMath1427.42032OpenAlexW2771307374MaRDI QIDQ2272608

Abdessadek Saib, Francisco Marcellán

Publication date: 20 September 2019

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-017-0589-2

zbMATH Keywords

recurrence relations\(d\)-orthogonal polynomials\(d\)-dimensional vectors of linear formsAssociated and co-recursive \(d\)-orthogonal polynomialsChebyshev \(d\)-orthogonal polynomialslinear combinations of \(d\)-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 (6)

On co-polynomials and \(d\)-orthogonality ⋮ Spectral properties related to generalized complementary Romanovski-Routh polynomials ⋮ On the quasi-orthogonality and Hahn-classicald-orthogonal polynomials ⋮ Discrete Hahn-classicald-orthogonal polynomials ⋮ On Mittag-Leffler \(d\)-orthogonal polynomials ⋮ 2-Orthogonal polynomials and Darboux transformations. Applications to the discrete Hahn-classical case

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