Some coefficient problems of a class of close-to-star functions of type \alpha defined by means of a generalized differential operator

In this investigation, we studied a class of Bazilevic type close-to-star functions which is defined by a generalized differential operator. The new class generalizes many known and new subclasses of close-to-star functions. Some of the investigated properties are the coefficient bounds and the Fekete-Szego functional. Our results extend some known and new ones.

کلیدواژه ها:

Analytic function ، univalent function ، starlike function ، close-to-star function of type alpha ، Caratheodory function ، Opoola differential operator ، coefficient bound ، Fekete-Szeg"o functional