On perturbed orthogonal polynomials on the real line and the unit circle via Szegő’s transformation

Kenier Castillo, Francisco Marcellán and Jorge Rivero

Applied Mathematics and Computation, 2017, vol. 302, issue C, 97-110

Abstract: By using the Szegő’s transformation we deduce new relations between the recurrence coefficients for orthogonal polynomials on the real line and the Verblunsky parameters of orthogonal polynomials on the unit circle. Moreover, we study the relation between the corresponding S-functions and C-functions.

Keywords: Szegő transformation; Co-polynomials; Spectral transformations; Transfer matrices (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:302:y:2017:i:c:p:97-110

DOI: 10.1016/j.amc.2017.01.018

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