Some inverse problems for \(d\)-orthogonal polynomials

DOI10.1007/s00009-012-0225-1zbMath1267.42030OpenAlexW2039591871MaRDI QIDQ1949853

Ebtissem Zerouki, Abdessadek Saib

Publication date: 17 May 2013

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

Full work available at URL: https://doi.org/10.1007/s00009-012-0225-1

zbMATH Keywords

orthogonal polynomialsrecurrence relationlinear forms\(d\)-orthogonality\(d\)-quasi-orthogonalitydual sequences

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) Other special orthogonal polynomials and functions (33C47)

Related Items (6)

On co-polynomials and \(d\)-orthogonality ⋮ On the quasi-orthogonality and Hahn-classicald-orthogonal polynomials ⋮ On semi‐classical d‐orthogonal polynomials ⋮ Linear combinations of \(d\)-orthogonal polynomials ⋮ On Mittag-Leffler \(d\)-orthogonal polynomials ⋮ 2-Orthogonal polynomials and Darboux transformations. Applications to the discrete Hahn-classical case

Cites Work

• Unnamed Item
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• Orthogonal polynomials associated with an inverse quadratic spectral transform
• Two-dimensional orthogonal polynomials, their associated sets and the co- recursive sets
• Sur la suite de polynômes orthogonaux associée à la forme \(u=\delta_ c+\lambda (x-c)^{-1}L\). (On the sequence of orthogonal polynomials associated with the form \(u=\delta_ c+\lambda (x-c)^{- 1}L)\)
• When do linear combinations of orthogonal polynomials yield new sequences of orthogonal polynomials?
• Prolégomènes à l'étude des polynômes orthogonaux semi- classiques. (Preliminary remarks for the study of semi-classical orthogonal polynomials)
• On \(d\)-orthogonal Tchebychev polynomials. I
• Division problem of moment functionals.
• On kernel polynomials and self-perturbation of orthogonal polynomials
• On the inverse problem of the product of a form by a polynomial: The cubic case.
• Darboux transformation and perturbation of linear functionals
• Generating new classes of orthogonal polynomials
• Companion linear functionals and Sobolev inner products: a case study
• On Co-Recursive Orthogonal Polynomials
• L'orthogonalité et les récurrences de polynômes d'ordre supérieur à deux
• DARBOUX TRANSFORMS AND ORTHOGONAL POLYNOMIALS
• On the inverse problem of the product of a form by a monomial: the casen=4. Part I

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