Strong asymptotics for Bergman polynomials over domains with corners
Complex Variables
2009-12-17 v2 Numerical Analysis
Abstract
The aim of the paper is to establish the strong asymptotics for the Bergman orthogonal polynomials defined over non-smooth domains in the complex plane. This complements an investigation started in 1923 by T. Carleman, who derived the strong asymptotics for domains with analytic boundaries and carried over by P.K. Suetin in the 1960's, who established them for domains with smooth boundaries.
Keywords
Cite
@article{arxiv.0910.1788,
title = {Strong asymptotics for Bergman polynomials over domains with corners},
author = {Nikos Stylianopoulos},
journal= {arXiv preprint arXiv:0910.1788},
year = {2009}
}
Comments
23 pages, 1 figure; corrected typos