A variational method for univalent functions connected with antigraphy
Volume 37 / 1996
Banach Center Publications 37 (1996), 21-28
DOI: 10.4064/-37-1-21-28
Abstract
The paper is devoted to a class of functions analytic and univalent in the unit disk that are connected with an antigraphy $e^{iφ}\bar{ω} + iρe^{iφ/2}$. Variational formulas and Grunsky inequalities are derived. As an application there are given some estimations in the considered class of functions.