Certain subclasses of p-valent starlike functions defined by using a differential operator

Abstract

The object of this paper is to introduce two interesting subclasses T n ∗ ( p , q , α , β , γ ) and C n ( p , q , α , β , γ ) of p-valent starlike functions defined by using a differential operator. We obtain coefficient estimates and distortion theorems for functions belonging to these classes. The radii of convexity for functions belonging to these classes are also determined. Finally, several applications involving an integral operator and certain fractional calculus operator are also considered.