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Research Paper | Mathematics | Iraq | Volume 4 Issue 5, May 2015

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

Waggas Galib Atshan ^[13] | Ali Hussein Battor ^[3] | 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

Edition: Volume 4 Issue 5, May 2015,

Pages: 1606 - 1610