Convergence of Bieberbach polynomials: Keldysh’s theorems and Mergelyan’s conjecture

DOI10.1070/RM9991zbMath1476.30137OpenAlexW3180184602WikidataQ113854100 ScholiaQ113854100MaRDI QIDQ5153158

Alexander I. Aptekarev

Publication date: 29 September 2021

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm9991

zbMATH Keywords

Bieberbach polynomialsapproximation

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Polynomials and rational functions of one complex variable (30C10)

Cites Work

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• On the convergence of the Bieberbach polynomials in regions with piecewise analytic boundary
• Convergence of Bieberbach polynomials in domains with quasiconformal boundary
• On the convergence of the Bieberbach polynomials in regions with corners
• Aspects of approximation theory for functions of one complex variable
• Polynomial approximation of conformal maps
• Uniform convergence of the Bieberbach polynomials in closed smooth domains of bounded boundary rotation.
• ON THE CONVERGENCE OF BIEBERBACH POLYNOMIALS IN THE CASE OF A LIPSCHITZ DOMAIN
• Konstruktive Methoden der konformen Abbildung
• On the completeness of systems of analytic functions
• Convergence of Bieberbach polynomials in domains with interior cusps
• Approximation by \(p\)-Faber polynomials in the weighted Smirnov class \(E^p(G,\omega)\) and the Bieberbach polynomials

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