ON ALPHA-QUASI-UNIFORMLY CONVEX p-VALENT FUNCTIONS OF TYPE β IN TERMS OF RUSCHEWEYH DERIVATIVES

Abstract

In the present paper we will establish some properties of the class of α - Quasi - Uniformly convex, p-valent functions of type β in the open unit disk, which we denote by QUCVp,λ β,α, for λ > −1; 0 ≤ β < p, α ≥ 0 and p ∈ N, by making use of the Ruscheweyh Derivatives.