Common points between perturbed Chebyshev polynomials of second kind

DOI10.1007/s11786-020-00469-xzbMath1493.33006OpenAlexW3015155894MaRDI QIDQ2035599

Zélia da Rocha

Publication date: 25 June 2021

Published in: Mathematics in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11786-020-00469-x

zbMATH Keywords

Chebyshev polynomialsorthogonal polynomialszeros\(Mathematica^{\circledR}\)

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Numerical computation of eigenvalues and eigenvectors of matrices (65F15) 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) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Uses Software

• na15

Cites Work

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• On orthogonal polynomials with perturbed recurrence relations
• A general method for deriving some semi-classical properties of perturbed second degree forms: the case of the Chebyshev form of second kind
• On co-recursive orthogonal polynomials and their application to potential scattering
• Fourth-order differential equation for the co-modified of semi-classical orthogonal polynomials
• Shohat-Favard and Chebyshev's methods in \(d\)-orthogonality
• An introduction to second degree forms
• Accelerated Landweber methods based on co-dilated orthogonal polynomials
• Some perturbed sequences of order one of the Chebyshev polynomials of second kind
• On Co-Recursive Orthogonal Polynomials
• On connection coefficients of some perturbed of arbitrary order of the Chebyshev polynomials of second kind

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