A Certain Subclass of Meromorphically Multivalent Analytic Functions with Negative Coefficients

A Certain Subclass of Meromorphically Multivalent Analytic Functions with Negative Coefficients

Corresponding Author: Rabha W. Ibrahim Faculty of Computer Science and IT, University Malaya, 50603 Kuala Lumpur, Malaysia Email: [email protected] Abstract: The paper aims to introduce a certain subclass S * g(A,B,α,p,j) of the class Σ * (p) of meromorphically multivalent functions with negative coefficients, defined by using the definitions of Hadamard product and subordination for two f...

Properties of Certain Subclass of Multivalent Functions with Negative Coefficients

Making use of a linear operator, which is defined by the Hadamard product, we introduce and study a subclass Y a,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....

A subclass of Meromorphically Multivalent Functions Associated with an Operator

The authors would like to thank the referees for their helpful suggestions which essentially improved the presentation of this paper. Abstract. In this paper, we introduce a new subclass of meromorphic functions and investigate inclusion relationships and properties of a certain class of meromorphically p-valent functions, which are defined by means of the familiar operator involving the genera...

Certain Properties of a Subclass of Multivalent Analytic Functions

On a Certain Subclass of Starlike Functions with Negative Coefficients

We introduce the class H(α, β) of analytic functions with negative coefficients. In this paper we give some properties of functions in the class H(α, β) and we obtain coefficient estimates, neighborhood and integral means inequalities for the function f(z) belonging to the class H(α, β). We also establish some results concerning the partial sums for the function f(z) belonging to the class H(α,...