PARABOLIC STARLIKE AND UNIFORMLY CONVEX FUNCTIONS

Abstract

The main object of this paper is to derive the sufficient conditions for the function to be in the class of uniformly starlike and uniformly convex function associated with the parabolic region Re{ω}>∣ω−1∣. Further, the Hadamard product of the function which are analytic in the open unit disk with negative coefficients are also investigated. Finally, similar results using an integral operator are also obtained.