Univalent majorants

Abstract

By g(z) <G(z) for \z\ <R, we shall mean that g(0) =G(0), that for \z\ <R both functions are regular and G(z) is univalent, and that the set of values assumed by g(z) for \z\ <E is included in the set of values assumed there by G(z).We say that G(z) is a majorant of g(z)(1).A similar definition may be given with