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University of Mississippi
Asymptotics of Carleman Polynomials for Level Curves of the Inverse of a Shifted Joukowsky Transformation
Abstract
dc:description.abstractLet 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.
Degree
thesis:*- Name thesis:degree_name
- M.S. in Mathematics
- Level thesis:degree_level
- Thesis
- Discipline thesis:degree_discipline
- Mathematics
- Year dc:date.available
- 2011
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Northington, Michael Carr
- Contributors dc:contributor
-
- Erwin Mina Diaz
- Iwo Labuda
- Gerard Buskes
Subjects
dc:subject × 7Identifiers
dc:identifier.*- Repository record dc:identifier
- https://egrove.olemiss.edu/etd/1325
- OAI identifier oai:identifier
- oai:egrove.olemiss.edu:etd-2324