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On an application of certain sufficient condition for starlikeness. (English) Zbl 1155.30009
Summary: We consider a sufficient condition for function to be $$\alpha$$-starlike function, when $$\alpha\in[0,1/2]$$. We use it for certain subclass of strongly starlike functions defined by a geometric condition. We take advantage of the techniques of differential subordinations.

##### MSC:
 30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)