Recurrence relation and differential equation for a class of orthogonal polynomials

DOI10.1007/s00025-018-0779-8zbMath1390.33020OpenAlexW2791039171WikidataQ115058627 ScholiaQ115058627MaRDI QIDQ1743224

Nevena Vasović, Gradimir V. Milovanović, Aleksandar S. Cvetković

Publication date: 13 April 2018

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-018-0779-8

zbMATH Keywords

Chebyshev polynomialsorthogonal polynomialsrecurrence relationdifferential equationChebyshev measure

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (2)

Unnamed Item ⋮ A note on orthogonal polynomials described by Chebyshev polynomials

Uses Software

• OrthogonalPolynomials

Cites Work

• Orthogonal polynomials for modified Chebyshev measure of the first kind
• Polynomials orthogonal on the semicircle
• Prolégomènes à l'étude des polynômes orthogonaux semi- classiques. (Preliminary remarks for the study of semi-classical orthogonal polynomials)
• A set of orthogonal polynomials induced by a given orthogonal polynomial
• A class of orthogonal polynomials on the radial rays in the complex plane
• Interpolation Processes
• Construction of Gaussian quadrature formulas for even weight functions
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