Properties of Certain Subclass of Multivalent Functions with Negative Coefficients

Author:

Yang Jingyu12,Li Shuhai1

Affiliation:

1. Department of Mathematics, Chifeng University, Inner Mongolia, Chifeng 024000, China

2. School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, China

Abstract

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

Funder

Natural Science Foundation of Inner Mongolia

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

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