Chebyshev polynomials via quadratic and cubic decompositions of the canonical sequence

DOI10.1080/10652469.2015.1073274zbMath1342.33023OpenAlexW1653723112MaRDI QIDQ3448972

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Publication date: 3 November 2015

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2015.1073274

zbMATH Keywords

Chebyshev polynomialsquadratic decompositionorthogonal polynomial sequencescubic decomposition2-orthogonal polynomial sequencesperturbed polynomial 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)

Related Items (3)

Symbolic approach to the general quadratic polynomial decomposition ⋮ Construction of a new class of symmetric function of binary products of \((p, q)\)-numbers with 2-orthogonal Chebyshev polynomials ⋮ Ordinary generating functions of binary products of third-order recurrence relations and 2-orthogonal polynomials

Cites Work

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• On \(d\)-orthogonal Tchebychev polynomials. I
• Cubic decomposition of 2-orthogonal polynomial sequences
• A class of non-orthogonal polynomials related to those of Laguerre
• General quadratic decomposition
• On the general cubic decomposition of polynomial sequences
• L'orthogonalité et les récurrences de polynômes d'ordre supérieur à deux
• LES POLYNÔMES ORTHOGONAUX „CLASSIQUES“ DE DIMENSION DEUX

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