A certain q-Ruscheweyh type derivative operator and its applications involving multivalent functions

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).

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.

On Differential Subordinations of Multivalent Functions Involving a Certain Fractional Derivative Operator

Certain Properties of Multivalent Functions Involving the Dziok-srivastava Operator

The object of the present paper is to investigate some subordination properties of multivalent analytic functions which are defined here by using the DziokSrivastava operator. Furthermore, relevant connections of the results presented in this paper with those obtained in earlier works are also discussed.

Properties of multivalent functions associated with certain integral operator

Let A(p) denote the class of functions which are analytic in the open unit disk U. By making use of certain integral operator,we obtain some interesting properties of multivalent analytic functions.