Defining Novel Integral Operator on the class of Multivalent Functions

Abstract

In this study, we focus on the class of multivalent functions of a negative coecient by introducing a new subclass of multivalent functions defined by a novel integral operator denoted as I. We investigated the following properties such as coefficient estimate, radii of starlikeness, convexity and close-to-convexity, closure theorems, extreme points, integral means, neighborhood and convolution for the class of multivalent functions denoted as J. The interesting results obtained remarked the existing ones.