To study the different classes and inequalities involving multivalent functions

Abstract

In this article we study multivalent functions in detail. We introduce and study some new subclasses of multivalent functions which are defined by differential subordination. The subclasses of these functions like starlike, convex, close to convex, spiral like, typical real functions. We obtain several properties like coefficient estimates, distortion bounds, radius of starlikeness, convexity and close to convex, extreme points, region of univalency, convex linear combination etc. We discuss different subclasses of multivalent that are holomorphic in nature.