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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap99-1-2, author = {Jacek Dziok}, title = {On the extreme points of subordination families}, journal = {Annales Polonici Mathematici}, volume = {98}, year = {2010}, pages = {23-37}, zbl = {1206.30018}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap99-1-2} }
Jacek Dziok. On the extreme points of subordination families. Annales Polonici Mathematici, Tome 98 (2010) pp. 23-37. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap99-1-2/