Study of some properties in the theory of univalent functions

In this study we have studied a new subclass of meromorphic univalent functions with positive coefficients defined by Ruscheweyh derivative and here we discuss several geometric properties like coefficient inequality distortion and growth bounds extreme points arithmetic mean convex linear combinations region of univalency in particular starlikeness and convexity also we have obtained Hadamard product and neighborhoods on our class. We have also introduced a class of univalent functions with negative coefficients defined by Hadamard product with Rafid - Operator. We obtain various properties like coefficient bounds extreme points radius of close - to - convexity and integral representation for we have also obtained inclusive properties of the class and result by applying integral operator. In continuity of our work we deals with new classes of starlike and convexity properties for Gussain hypergeometric functions.