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

How to Cite?: Waggas Galib Atshan, Enaam Hadi Abd, "On a New Class of Uniformly Convex Univalent Functions with Negative Coefficient Defined by a Linear Operator", Volume 4 Issue 4, April 2015, International Journal of Science and Research (IJSR), Pages: 1267-1273, https://www.ijsr.net/getabstract.php?paperid=OCT141609, DOI: https://dx.doi.org/10.21275/OCT141609