On a New Subclass of Univalent Functions with Negative Coefficients Defined by Ruscheweyh Derivative

Waggas Galib Atshan, Ali Hussein Battor, Azhar Jawad Kadhim

Abstract: In this paper, we have discussed a subclassS (, , , ,) of analytic and univalent function with negative coefficients defined by Ruscheweyh derivative in unit diskU={z-C-|z|<1}. We obtain basic properties like coefficient inequality, distortion theorem, extreme points and radii of starlikeness, convexity and close-to-convexity, Hadamard productand convolution operator.

Keywords: Univalent Function, Ruscheweyh derivative, Radii of Starlikeness, Distortion theorem, Extreme points, Hadamard product, convolution operator