On a New Subclass of Univalent Functions with Negative Coefficients Defined by Ruscheweyh Derivative
Journal: International Journal of Science and Research (IJSR) (Vol.4, No. 5)Publication Date: 2015-05-05
Authors : Waggas Galib Atshan; Ali Hussein Battor; Azhar Jawad Kadhim;
Page : 1606-1610
Keywords : Univalent Function; Ruscheweyh derivative; Radii of Starlikeness; Distortion theorem; Extreme points; Hadamard product; convolution operator;
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|less than1}. We obtain basic properties like coefficient inequality, distortion theorem, extreme points and radii of starlikeness, convexity and close-to-convexity, Hadamard productand convolution operator.
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