Uniform Convergence of the Generalized Bieberbach Polynomials in Regions with Zero Angles

DOI10.1023/A:1013796308878zbMath1079.30506OpenAlexW69213056MaRDI QIDQ3366582

Fahreddin G. Abdullayev

Publication date: 14 February 2006

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/30661

zbMATH Keywords

conformal mappingquasiconformal curvecomplex approximationBieberbach polynomial

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)

Related Items

On the improvement of the rate of convergence of the generalized Bieberbach polynomials in domains with zero angles ⋮ Uniform convergence of the generalized Bieberbach polynomials in regions with simultaneously exterior and interior zero angles ⋮ Uniform convergence of the \(p\)-Bieberbach polynomials in domains with zero angles ⋮ Approximate properties of the p-Bieberbach polynomials in regions with simultaneously exterior and interior zero angles

Cites Work

• 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
• 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
• Polynomials orthogonal over a region and Bieberbach polynomials
• On the convergence of bieberbach polynomials in domains with interior zero angles
• ON THE CONVERGENCE OF BIEBERBACH POLYNOMIALS IN THE CASE OF A LIPSCHITZ DOMAIN
• $ L_p$-CONVERGENCE OF BIEBERBACH POLYNOMIALS
• CONFORMAL MAPPINGS AND THE APPROXIMATION OF ANALYTIC FUNCTIONS IN DOMAINS WITH A QUASICONFORMAL BOUNDARY
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