On a New Class of Uniformly Convex Univalent Functions with Negative Coefficient Defined by a Linear Operator

Waggas Galib Atshan, Enaam Hadi Abd

Abstract: The main purpose of this paper is to introduce new class of uniformly convex functions with negative coefficients defined by a linear operator in theopen unit disc U. We obtain some geometric properties, likes coefficient estimates, closure theorems, extreme points, distortion theorems, convolution and radii of starlikeness and convexity.

Keywords: Univalent function, uniformly convex, linear operator, Hadamard product