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Properties of Certain Subclass of Multivalent Functions with Negative Coefficients

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  • Jingyu Yang
  • Shuhai Li

Abstract

Making use of a linear operator, which is defined by the Hadamard product, we introduce and study a subclass of the class . In this paper, we obtain the coefficient inequality, distortion theorem, radius of convexity and starlikeness, neighborhood property, modified convolution properties of this class. Furthermore, an application of fractional calculus operator is given. The results are presented here would provide extensions of some earlier works. Several new results are also obtained.

Suggested Citation

  • Jingyu Yang & Shuhai Li, 2012. "Properties of Certain Subclass of Multivalent Functions with Negative Coefficients," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-21, May.
    • Handle: RePEc:hin:jijmms:362312
    DOI: 10.1155/2012/362312
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    References listed on IDEAS

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    1. Osman Altintas & Shigeyoshi Owa, 1996. "Neighborhoods of certain analytic functions with negative coefficients," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 19, pages 1-4, January.
    2. M. K. Aouf, 2006. "Neighborhoods of certain classes of analytic functions with negative coefficients," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2006, pages 1-6, August.
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