On the improvement of the rate of convergence of the generalized Bieberbach polynomials in domains with zero angles

• Published in: Український математичний журнал
• Date: 2012
• Main Authors: Abdullayev, F.G., Özkartepe, N.P.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2012
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/164421
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On the improvement of the rate of convergence of the generalized Bieberbach polynomials in domains with zero angles / F.G. Abdullayev, N.P. Özkartepe // Український математичний журнал. — 2012. — Т. 64, № 5. — С. 582-596. — Бібліогр.: 27 назв. — англ.

Let ℂ be the complex plane, let C¯=C∪{∞}, let G ⊂ ℂ be a finite Jordan domain with 0 ∈ G; let L := ∂G; let Ω := C¯∖G¯, and let w = φ(z) be a conformal mapping of G onto a disk B(0, ρ₀) := {w:|w|<ρ₀} normalized by the conditions φ(z) = 0 and φ′(0)=1, where ρ₀ = ρ₀(0, G) is the conformal radius of...