Outside The Unit Circle. Special Univalent Functions

We shall be concerned with the class E of the functionsanalytic and univalent in the domain △ = {z : |z| > 1}, except for a simple pole at infinity with residue 1.In what follows, we shall investigate the uniformly covex and uniformly starlike functions which in S. By using the coefficients of a function, we get wether the function is in the uniformly covex or in the uniformly starlike functions. The question is still an open problem.