On the relation between Darboux transformations and polynomial mappings

DOI10.1016/j.jat.2013.04.002zbMath1292.33012arXiv1212.1134OpenAlexW2041614313MaRDI QIDQ390520

Maxim Derevyagin

Publication date: 8 January 2014

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

Full work available at URL: https://arxiv.org/abs/1212.1134

zbMATH Keywords

orthogonal polynomialsDarboux transformationdefinitizable operatorStieltjes functiontriangular factorizationdefinitizable functionmonic generalized Jacobi matrixmonic Jacobi matrixnon-regular functionalunwrapping transformation

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Padé approximation (41A21) Moment problems and interpolation problems in the complex plane (30E05)

Related Items (5)

A note on the Geronimus transformation and Sobolev orthogonal polynomials ⋮ Multiple Geronimus transformations ⋮ Spectral theory of the \(G\)-symmetric tridiagonal matrices related to Stahl's counterexample ⋮ Shifted Darboux transformations of the generalized Jacobi matrices. I ⋮ Geronimus transformations of bivariate linear functionals

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