Relative Asymptotics of Orthogonal Polynomials for Perturbed Measures
Complex Variables
2016-12-22 v4
Abstract
In the context of orthogonal polynomials in the plane we introduce the notion of a polynomially small (PS) perturbation of a measure. In such a case we establish relative asymptotic results for the two sequences of the associated orthonormal polynomials. We also provide results dealing with the behaviour of the zeros of PS perturbations of area orthogonal (Bergman) polynomials.
Keywords
Cite
@article{arxiv.1608.01803,
title = {Relative Asymptotics of Orthogonal Polynomials for Perturbed Measures},
author = {Edward B. Saff and Nikos Stylianopoulos},
journal= {arXiv preprint arXiv:1608.01803},
year = {2016}
}
Comments
21 pages, 4 figures