Schwarzian derivative and Landau's theorem for logharmonic mappings

Date Issued
01-08-2013
Author(s)
Mao, Zh
Indian Institute of Technology, Madras
Wang, X.
DOI
Abstract
The main aim of this article is twofold. First, we introduce the Schwarzian derivative for logharmonic mappings F, and obtain several necessary and sufficient conditions for to be analytic. Second, we establish Schwarz' lemma for logharmonic mappings, through which two versions of the Landau's theorem for these functions are obtained. © 2013 Copyright Taylor and Francis Group, LLC.
Volume
58
Subjects