On a New Subclass of Univalent Functions with Negative Coefficients Defined by Ruscheweyh Derivative
International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Call for Papers | Fully Refereed | Open Access | Double Blind Peer Reviewed

ISSN: 2319-7064


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Research Paper | Mathematics | Iraq | Volume 4 Issue 5, May 2015 | Popularity: 6.1 / 10


     

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


Edition: Volume 4 Issue 5, May 2015


Pages: 1606 - 1610



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Waggas Galib Atshan, Ali Hussein Battor, Azhar Jawad Kadhim, "On a New Subclass of Univalent Functions with Negative Coefficients Defined by Ruscheweyh Derivative", International Journal of Science and Research (IJSR), Volume 4 Issue 5, May 2015, pp. 1606-1610, https://www.ijsr.net/getabstract.php?paperid=SUB153678, DOI: https://www.doi.org/10.21275/SUB153678

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