Convergence of Bieberbach polynomials in domains with quasiconformal boundary

DOI10.1007/BF01092167zbMath0536.30006MaRDI QIDQ791705

Vladimir V. Andrievskii

Publication date: 1983

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

zbMATH Keywords

Bieberbach polynomialsquasiconformal curves

Mathematics Subject Classification ID

Conformal mappings of special domains (30C20) Approximation in the complex plane (30E10)

Related Items (12)

Dieter Gaier's contributions to numerical conformal mapping ⋮ Approximation of conformal mapping via the Szegő kernel method ⋮ An approximation of conformal mappings on smooth domains ⋮ On the convergence of the Bieberbach polynomials in regions with corners ⋮ Simultaneous approximation of conformal mappings on smooth domains ⋮ On the improvement of the rate of convergence of the generalized Bieberbach polynomials in domains with zero angles ⋮ Uniform convergence of the Bieberbach polynomials in closed smooth domains of bounded boundary rotation. ⋮ Convergence of Bieberbach polynomials: Keldysh’s theorems and Mergelyan’s conjecture ⋮ Convergence of Bieberbach polynomials in domains with interior cusps ⋮ Uniform convergence of the generalized Bieberbach polynomials in regions with simultaneously exterior and interior zero angles ⋮ Uniform Convergence of the Generalized Bieberbach Polynomials in Regions with Zero Angles ⋮ On approximation of conformal maps with slowly growing complex dilatation by the Bieberbach polynomials

Cites Work

• Approximation of functions by partial sums of series of Faber polynomials on continua with nonzero local geometric characteristic
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