Uniform convergence of the generalized Bieberbach polynomials in regions with simultaneously exterior and interior zero angles

DOI10.1007/s11785-018-0857-7zbMath1429.30015OpenAlexW2896145563WikidataQ129063524 ScholiaQ129063524MaRDI QIDQ2007951

Fahreddin G. Abdullayev

Publication date: 22 November 2019

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-018-0857-7

zbMATH Keywords

Bieberbach polynomialsconformal mappingquasiconformal curvecomplex approximation

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Extremal problems for conformal and quasiconformal mappings, variational methods (30C70) Schwarz-Christoffel-type mappings (30C30)

Cites Work

• Convergence of Bieberbach polynomials in domains with quasiconformal boundary
• On the convergence of the Bieberbach polynomials in regions with corners
• Uniform convergence of the generalized Bieberbach polynomials in regions with non-zero angles
• On the curved wedge condition and the continuity moduli of conformal mappings
• Uniform convergence of the Bieberbach polynomials in closed smooth domains of bounded boundary rotation.
• Polynomials orthogonal over a region and Bieberbach polynomials
• Uniform convergence of the \(p\)-Bieberbach polynomials in domains with zero angles
• On the convergence of bieberbach polynomials in domains with interior zero angles
• Uniform Convergence of the Generalized Bieberbach Polynomials in Regions with Zero Angles
• ON THE CONVERGENCE OF BIEBERBACH POLYNOMIALS IN THE CASE OF A LIPSCHITZ DOMAIN
• CONFORMAL MAPPINGS AND THE APPROXIMATION OF ANALYTIC FUNCTIONS IN DOMAINS WITH A QUASICONFORMAL BOUNDARY
• Approximation by \(p\)-Faber polynomials in the weighted Smirnov class \(E^p(G,\omega)\) and the Bieberbach polynomials
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