On the extreme points of subordination families
Tom 99 / 2010
Annales Polonici Mathematici 99 (2010), 23-37
MSC: Primary 30C45; Secondary 30C80.
DOI: 10.4064/ap99-1-2
Streszczenie
We investigate extreme points of some classes of analytic functions defined by subordination and classes of functions with varying argument of coefficients. By using extreme point theory we obtain coefficient estimates and distortion theorems in these classes of functions. Some integral mean inequalities are also pointed out.