COEFFICIENT INEQUALITIES OF BAZILEVIC FUNCTIONSCOLLIGATED WITH CONIC DOMAIN

Abstract

In this paper, the concept of Bazilevic function as well as Janowski function and the conic regions are combined effectively to define a new domain that exemplify the conic-type regions. The sub-classes of these types of functions which map the open unit disk U onto this changed Conic domain are defined. Also, the sub-classes of k -uniformly Janowski convex and k- uniformly Janowski starlike function involving Bazilevic functions are defined using S˘al˘agean derivative operator. New results were obtained along with some corollaries and the consequences of our results were pointed out.