A sharp bound for the Schwarzian derivative of concave functions
Volume 128 / 2012
Colloquium Mathematicum 128 (2012), 245-251
MSC: Primary 30C45; Secondary 30C55, 30C62.
DOI: 10.4064/cm128-2-10
Abstract
We derive a sharp bound for the modulus of the Schwarzian derivative of concave univalent functions with opening angle at infinity less than or equal to $\pi \alpha $, $\alpha \in [1,2].$