Integral estimates for derivatives of univalent functions

Integral estimates for derivatives of univalent functions

Brennan’s conjecture for a conformal mapping f of the unit disk is proved under a certain condition on the Taylor coefficients of ln f ′. Brennan’s conjecture is also proved in the case where 1/ f ′ expands into a series of simple fractions absolutely converging to zero. An estimate for the approxim...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Lobachevskii journal of mathematics 2014-10, Vol.35 (4), p.402-408
1. Verfasser: Kayumov, F. D.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Geometry
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Probability Theory and Stochastic Processes
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:Brennan’s conjecture for a conformal mapping f of the unit disk is proved under a certain condition on the Taylor coefficients of ln f ′. Brennan’s conjecture is also proved in the case where 1/ f ′ expands into a series of simple fractions absolutely converging to zero. An estimate for the approximation of 1/ f ′ by simple fractions is obtained.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080214040052