Properties of Certain Subclass of Multivalent Functions with Negative Coefficients

Abstract EN

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.