Asymptotics of Carleman Polynomials for Level Curves of the Inverse of a Shifted Joukowsky Transformation
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.
Asymptotic, Carleman, Complex Analysis, Joukowski, Joukowsky, Orthogonal Polynomials, Mathematics
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