A certain subclass of multivalent functions involving higher-order derivatives

Properties of Certain Multivalent Functions Involving Ruscheweyh Derivatives

Let Ap(p ∈ N) be the class of functions f(z) = z + ∑∞ m=1 ap+mz p+m which are analytic in the unit disk. By virtue of the Ruscheweyh derivatives we introduce the new subclasses Cp(n, α, β, λ, μ) of Ap. Subordination relations, inclusion relations, convolution properties and a sharp coefficient estimate are obtained. We also give a sufficient condition for a function to be in Cp(n, α, β, λ, μ).

Certain Properties of a Subclass of Multivalent Analytic Functions

Subordination for Higher-Order Derivatives of Multivalent Functions

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....

Argument Estimates of Certain Multivalent Functions Involving a Linear Operator

The purpose of this paper is to derive some argument properties of certain multivalent functions in the open unit disk involving a linear operator. We also investigate their integral preserving property in a sector.