Convergence of the ρ-bieberbach polynomials in regions with zero angles

Koşar C., Küçükaslan M., ABDULLAYEV F.

Proceedings of the Estonian Academy of Sciences, vol.60, no.2, pp.104-114, 2011 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 60 Issue: 2
  • Publication Date: 2011
  • Doi Number: 10.3176/proc.2011.2.05
  • Journal Name: Proceedings of the Estonian Academy of Sciences
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.104-114
  • Keywords: Bieberbach polynomials, Conformal mappings, Extremal polynomials, Uniform approximation
  • Uşak University Affiliated: No

Abstract

Uniform convergence of the ρ-Bieberbach polynomials is proved in the case of a simply connected region bounded by a piecewise quasiconformal curve with certain interior zero angles on the corner where two arcs meet.