A generalization on subfamily of p-valent functions with negative coefficients

摘要

The aim of this paper is to present sharp results concerning coefficients, distortion theorem and the radius of convexity for Pp∗(α,β,ξ,Ω). Integral operators of functions belonging to the class Pp∗(α,β,ξ,Ω) are studied here. Furthermore it is shown that the class Pp∗(α,β,ξ,Ω) is closed under convex linear combinations. The extreme points of Pp∗(α,β,ξ,Ω) are also determined.