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

Year 2006, Volume: 35 Issue: 1, 1 - 6, 01.01.2006

A. Tehranchi S. R. Kulkarni

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.

Keywords

Ruscheweyh Derivative , Quasi-convex , Uniformly convex , Close-to-uniformly convex and alpha-quasi- uniformly convex p-valent functions , 2000 AMS Classification: 30 C 45

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

Abstract

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