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

Koşar C., Küçükaslan M., ABDULLAYEV F.

Proceedings of the Estonian Academy of Sciences, cilt.60, sa.2, ss.104-114, 2011 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 60 Sayı: 2
  • Basım Tarihi: 2011
  • Doi Numarası: 10.3176/proc.2011.2.05
  • Dergi Adı: Proceedings of the Estonian Academy of Sciences
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.104-114
  • Anahtar Kelimeler: Bieberbach polynomials, Conformal mappings, Extremal polynomials, Uniform approximation
  • Uşak Üniversitesi Adresli: Hayır

Özet

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.