An integrable system connected with the Uvarov-Chihara problem for orthogonal polynomials

DOI10.1088/0305-4470/31/47/017zbMath0942.42017OpenAlexW1969752949MaRDI QIDQ3836126

Luc Vinet, Alexei Zhedanov

Publication date: 6 December 1999

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/31/47/017

zbMATH Keywords

orthogonal polynomialsasymptotic behaviourintegrable systemrecurrence coefficientsnon-local integrable chainUvarov-Chihara problem

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) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Discrete version of topics in analysis (39A12)

Related Items (3)

On a Direct Uvarov-Chihara Problem and Some Extensions ⋮ Perturbations on the antidiagonals of Hankel matrices ⋮ Orthogonal polynomials and perturbations on measures supported on the real line and on the unit circle. A matrix perspective

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