On orthogonal polynomials obtained via polynomial mappings

DOI10.1016/j.jat.2010.07.012zbMath1209.42018OpenAlexW2141756252MaRDI QIDQ619066

J. Petronilho, M. N. De Jesus

Publication date: 21 January 2011

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2010.07.012

zbMATH Keywords

orthogonal polynomialsinverse problemsrecurrence relationsJacobi operatorspolynomial mappingsStieltjes transforms

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 (24)

\(H_q\)-semiclassical orthogonal polynomials via polynomial mappings ⋮ Density of states of Jacobi matrices with periodic and asymptotically periodic coefficients ⋮ On the characterizations of third-degree semiclassical forms via polynomial mappings ⋮ On the cubic decomposition of a family ofG_q-semiclassical polynomial sequences of class one ⋮ On an inverse problem for a linear combination of orthogonal polynomials ⋮ Quadratic decomposition of bivariate orthogonal polynomials ⋮ Cubic decomposition of 2-orthogonal polynomial sequences ⋮ Generalized Fibonacci sequences via orthogonal polynomials ⋮ Cubic decomposition of a family of semiclassical orthogonal polynomials of class two ⋮ Spectral properties of certain tridiagonal matrices ⋮ An electrostatic interpretation of the zeros of sieved ultraspherical polynomials ⋮ On perturbed orthogonal polynomials on the real line and the unit circle via Szegő's transformation ⋮ Products of \(2\times 2\) matrices related to non autonomous Fibonacci difference equations ⋮ Semi-analytical solutions for eigenvalue problems of chains and periodic graphs ⋮ Symbolic approach to the general quadratic polynomial decomposition ⋮ A note on orthogonal polynomials described by Chebyshev polynomials ⋮ Spectra of the constant Jacobi matrices on Banach sequence spaces ⋮ On semiclassical orthogonal polynomials via polynomial mappings ⋮ Unnamed Item ⋮ On a 2-orthogonal polynomial sequence via quadratic decomposition ⋮ A proof of a conjecture about a symmetric system of orthogonal polynomials ⋮ Applications of a new formula for OPUC with periodic Verblunsky coefficients ⋮ Cubic decomposition of a family of semiclassical polynomial sequences of class one ⋮ Third-order self-associated orthogonal polynomial sequences

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