Subclasses of Analytic and Multivalent Functions Defined by Extended Derivative Operator of Ruscheweyh’s Type

Abstract

By means of certain extended derivative operator of Ruscheweyh’s type, we introduce and investigate two new subclasses of p-valently analytic functions of complex order. The various results obtained here for each of these subclasses included coefficient estimate, distortion theorem, radius of starlikeness, convexity and closure theorem.

Keywords & Phrases: - Multivalent function, coefficient estimate, distortion theorem, radius of starlikeness, differential operator.