Near-Circularity in Capacity and Maximally Convergent Polynomials

If f is a power series with radius R of convergence, $$R > 1$$ R > 1 , it is well-known that the method of Carathéodory–Fejér constructs polynomial approximations of f on the closed unit disk which show the typical phenomenon of near-circularity on the unit circle. Let E be compact and connect...

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Bibliographic Details

Published in:	Computational methods and function theory Vol. 25; no. 2; pp. 279 - 300
Main Author:	Blatt, Hans-Peter
Format:	Journal Article
Language:	English
Published:	Heidelberg Springer Nature B.V 01.06.2025
Subjects:	Approximation Circularity Convergence Equilibrium Error functions Green's functions Polynomials Power series Winding
ISSN:	1617-9447, 2195-3724
Online Access:	Get full text
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