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

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-function...

Full description

Saved in:
Bibliographic Details
Published in:Applied mathematics and computation 2017-06, Vol.302, p.97-110
Main Authors: Castillo, Kenier, Marcellán, Francisco, Rivero, Jorge
Format: Article
Language:English
Subjects:
Co-polynomials
Spectral transformations
Szegő transformation
Transfer matrices
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2017.01.018