International Journal of Mathematics and Mathematical Sciences (2012-01-01)

Properties of Certain Subclass of Multivalent Functions with Negative Coefficients

  • Jingyu Yang,
  • Shuhai Li

DOI
https://doi.org/10.1155/2012/362312
Journal volume & issue
Vol. 2012

Abstract

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Making use of a linear operator, which is defined by the Hadamard product, we introduce and study a subclass Ya,c+(A,B;p,λ,α) of the class A+(p). 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.