The quasi-orthogonality of the derivatives of semi-classical polynomials

DOI10.1016/S0019-3577(02)80016-7zbMath1024.42012MaRDI QIDQ1866479

J. C. Medem

Publication date: 11 November 2003

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

regularity conditionquasi-orthogonalitydistributional equationcoprimality conditionsemi-classical functionals and orthogonal polynomials

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Other functions coming from differential, difference and integral equations (33E30)

Related Items (3)

About families of orthogonal polynomials satisfying Heun's differential equation ⋮ On characterizations of classical polynomials ⋮ A family of singular semi-classical functionals

Cites Work

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• Prolégomènes à l'étude des polynômes orthogonaux semi- classiques. (Preliminary remarks for the study of semi-classical orthogonal polynomials)
• Variations around classical orthogonal polynomials. Connected problems
• Classical orthogonal polynomials: A functional approach
• On certain determinants whose elements are orthogonal polynomials

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