Zeros of quasi-paraorthogonal polynomials and positive quadrature

@article{Bultheel2022ZerosOQ,
title={Zeros of quasi-paraorthogonal polynomials and positive quadrature},
author={Adhemar Bultheel and Ruym{\'a}n Cruz-Barroso and Carlos D{\'i}az-Mendoza},
journal={J. Comput. Appl. Math.},
year={2022},
volume={407},
pages={114039}
}

Given a probability measure μ on the unit circle T, we study para-orthogonal polynomials Bn(.,w) (with fixed w ∈ T) and their zeros which are known to lie on the unit circle. We focus on the… Expand

The interlacing properties of zeros of para–orthogonal polynomials associated with a nontrivial probability measure supported on the unit circle dµ are studied and some results related with the Christoffel transformation are presented.Expand

It is shown that the nodes polynomial can be generated by a simple recurrence relation and as a byproduct interlacing properties of zeros of para-orthogonal polynomials are obtained.Expand