Convergence of Bieberbach polynomials in domains with interior cusps

DOI10.1007/BF02791232zbMath0973.30010arXivmath/0001122OpenAlexW2072065841MaRDI QIDQ5926440

Vladimir V. Andrievskii, Igor E. Pritsker

Publication date: 25 November 2001

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0001122

zbMATH Keywords

Bieberbach polynomialsconformal mappingpolynomial approximation

Mathematics Subject Classification ID

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

Related Items (9)

Approximation of conformal mapping via the Szegő kernel method ⋮ An approximation of conformal mappings on smooth domains ⋮ Approximation properties of Julia polynomials ⋮ Simultaneous approximation of conformal mappings on smooth domains ⋮ Uniform convergence of the Bieberbach polynomials in closed smooth domains of bounded boundary rotation. ⋮ Asymptotics for polynomial zeros: Beware of predictions from plots ⋮ Convergence of Bieberbach polynomials: Keldysh’s theorems and Mergelyan’s conjecture ⋮ Convergence of Julia polynomials ⋮ On approximation of conformal maps with slowly growing complex dilatation by the Bieberbach polynomials

Cites Work

• On the convergence of the Bieberbach polynomials in regions with piecewise analytic boundary
• Convergence of Bieberbach polynomials in domains with quasiconformal boundary
• Lipschitz conditions, b-arcwise connectedness and conformal mappings
• Asymptotic behaviour of zeros of Bieberbach polynomials
• On the convergence of the Bieberbach polynomials in regions with corners
• Polynomial approximation of conformal maps
• Polynomials orthogonal over a region and Bieberbach polynomials
• 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
• Order comparison of norms of polynomials in regions of the complex plane
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