Distortion theorem for bounded univalent functions

N. A. Pavlov

Far Eastern Federal University, Vladivostok

Abstract: Distortion theorem for bounded univalent functions in the unit disk is proven. Estimate includes angular derivatives in two boundary points and Schwarzian derivative in interior point of the unit disk.

Key words: univalent functions, angular derivative, Schwarzian derivative, capacity of condenser.

UDC: 517.54

MSC: Primary 30C75; Secondary 30C85

Received: 22.07.2015

Bibliographic databases:

•