+ n + 1 > 0 and g .J./[0, n].
Sanford S. Miller, Petru T. Mocanu · 2000
All of our previous differential subordination results with analytic function were carried out for functions defined in the unit disk. In this section we consider analytic functions defined in the upper-half plane. We begin by discussing some of the structure of the class of such functions and then develop the theory of differential subordinations for the class.