Fractional calculus and some properties of certain starlike functions with negative coefficients

摘要

A certain subclass Tγ(n,p,λ,α) of starlike functions in the unit disk is introduced. The main object of this paper is to derive several interesting properties of functions belonging to the class Tγ(n,p,λ,α). Various distortion inequalities for fractional calculus of functions in the Tγ(n,p,λ,α) are also given.