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

Abstract

In this investigation, we studied a class of Bazileviˇc 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-Szeg¨o functional. Our results extend some known and new ones.