A large family of semi-classical polynomials: The perturbed Chebyshev

DOI10.1016/0377-0427(93)E0251-GzbMath0831.42016OpenAlexW2090049000MaRDI QIDQ1893586

Galliano Valent, Gabriela Sansigre

Publication date: 11 February 1996

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(93)e0251-g

zbMATH Keywords

Chebyshev polynomialssemi-classical polynomialsrecurrence relationsfinite perturbations of orthogonal polynomials

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 (14)

A non-symmetric second-degree semi-classical form of class one ⋮ On associated polynomials and decay rates for birth--death processes. ⋮ An introduction to second degree forms ⋮ A description via second degree character of a family of quasi-symmetric forms ⋮ Second degree classical forms ⋮ On the inverse problem of the product of a semi-classical from by a polynomial ⋮ A general method for deriving some semi-classical properties of perturbed second degree forms: the case of the Chebyshev form of second kind ⋮ On connection coefficients of some perturbed of arbitrary order of the Chebyshev polynomials of second kind ⋮ A family of second degree semi-classical forms of class \(s=1\) ⋮ A family of symmetric second degree semiclassical forms of class \(s = 2\) ⋮ Quadratic harnesses, $q$-commutations, and orthogonal martingale polynomials ⋮ Perturbation analysis of an \(M/M/1\) queue in a diffusion random environment ⋮ A description of second degree semiclassical forms of class two arising via cubic decomposition ⋮ Some perturbed sequences of order one of the Chebyshev polynomials of second kind

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On orthogonal polynomials with perturbed recurrence relations
• Compact perturbations of orthogonal polynomials
• Prolégomènes à l'étude des polynômes orthogonaux semi- classiques. (Preliminary remarks for the study of semi-classical orthogonal polynomials)
• Finite perturbations of orthogonal polynomials
• Painlevé-type differential equations for the recurrence coefficients of semi-classical orthogonal polynomials
• A differential equation for orthogonal polynomials
• On Co-Recursive Orthogonal Polynomials
• Orthogonal Polynomials, Measures and Recurrence Relations
• Orthogonal polynomials
• Some Properties of the q-Hermite Polynomials

This page was built for publication: A large family of semi-classical polynomials: The perturbed Chebyshev