ON \alpha-TYPE UNIFORMLY CONVEX FUNCTIONS

Abstract

We determine necessary and sufficient condition for a function f with negative coefficients to be n-uniformly starlike of type a and we obtain a conection between the class of all such functions UT_n(a) and the class of the functions n-starlike of order a and type b with negative coefficients T_n(a,b). Distortion bounds and extreme points are also obtained.