Some perturbed sequences of order one of the Chebyshev polynomials of second kind

DOI10.1080/10652469.2013.814049zbMath1286.42037OpenAlexW2093582315MaRDI QIDQ2874103

Manoubi Méjri, Pascal Maroni

Publication date: 28 January 2014

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

Full work available at URL: https://doi.org/10.1080/10652469.2013.814049

zbMATH Keywords

Chebyshev polynomialsorthogonal polynomialssecond-order differential equationsemi-classical formsorthogonality measure

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 (8)

On the extended connection coefficients between two orthogonal polynomial sequences ⋮ A description via second degree character of a family of quasi-symmetric forms ⋮ The algebraic equation \(xu=\lambda x^3 v\) in the symmetric case ⋮ Division problem of a regular symmetric form the case x³u = λxv ⋮ A general method for deriving some semi-classical properties of perturbed second degree forms: the case of the Chebyshev form of second kind ⋮ Third-degree semiclassical forms of class one arising from cubic decomposition ⋮ On connection coefficients of some perturbed of arbitrary order of the Chebyshev polynomials of second kind ⋮ Common points between perturbed Chebyshev polynomials of second kind

Cites Work

• Unnamed Item
• Variations around classical orthogonal polynomials. Connected problems
• Über Differentialgleichungen für Orthogonalpolynome
• A large family of semi-classical polynomials: The perturbed Chebyshev
• An introduction to second degree forms
• A differential equation for orthogonal polynomials
• On semiclassical linear functionals of classs=2: classification and integral representations

This page was built for publication: Some perturbed sequences of order one of the Chebyshev polynomials of second kind