On a Class of p-Valent Functions with Higher Order Derivative Defined by Convolution

摘要

In this paper we introduced and studied the class T_(pa,β)~*(f,g;A,B;m,q) of analytic p-valent functions with higer order derivative. We obtained coefficients inequalities, distortion theorems, extreme points and radii of close to convexity, starlikeness and convexity for the class T_(p,α,β)~*(f,g;A,B;m,q). Also we obtained many application involving an integral operator. Finally, we obtained integral means for functions belonging to this class.