A New Class of Meromorphic Multivalent Functions Involving an Extended Linear Derivative Operator of Ruscheweyh

Abstract

In this paper,we introduce and discuss a new subclass $A_{p}(\lambda ,\alpha )$ of meromorphic multivalent functions in the punctured unit disk $U^{\ast }=\{z:z$ $\epsilon $ $C,0<\left\vert z\right\vert <1\}$ defined by a certain extended linear derivative operator of Ruscheweyh. Coefficients inequality,distortion theorems,closure theorem for this class are obtained.We also obtain radius of starlikeness and radius of convexity for this class.