Asymptotics of Carleman Polynomials for Level Curves of the Inverse of a Shifted Joukowsky Transformation
type: CreativeWork
description: Let L be a level curve of the inverse of the shifted Joukowsky transformation w [special characters omitted] w − 1 + (w − 1) –1, that is, [special characters omitted]In this thesis we investigate the asymptotic properties of the sequence of polynomials that are orthonormal over the interior domain of L with respect to the area measure. We establish strong asymptotic formulas describing the behavior of these polynomials (as their degree increases) at every point of the complex plane.
abstract: Let L be a level curve of the inverse of the shifted Joukowsky transformation w [special characters omitted] w − 1 + (w − 1) –1, that is, [special characters omitted]In this thesis we investigate the asymptotic properties of the sequence of polynomials that are orthonormal over the interior domain of L with respect to the area measure. We establish strong asymptotic formulas describing the behavior of these polynomials (as their degree increases) at every point of the complex plane.
author: Northington, Michael Carr
keywords: Asymptotic, Carleman, Complex Analysis, Joukowski, Joukowsky, Orthogonal Polynomials, Mathematics
date published: 2011-01-01T08:00:00Z
date modified: 2026-07-24T03:06:44Z
provider: University of Mississippi
publisher: Networked Digital Library of Theses and Dissertations
type: WebPage
source organization: University of Mississippi