ABSTRACT
Proof Since f E _}( implies Re zf'(z)/ f(z) ~ 1/2, from (3.5-34) we deduce that conditions (3.5-18) and (3.5-19) will be satisfied with a = 1/2. Hence by Theorem 3.5f, I[_}(] c .A. Furthermore, from (3.5-20) and (3.5-35) we conclude that I[_}(] c S*. D
On comparing Theorem 3.5k and Theorem 3.51 we see that they are identical
except that o in (3.5-21) is replaced by aj2 + o in (3.5-34). Similarly, if we replace o by a/2 + o in (3.5-24) and (3.5-25) of Corollary 3.5h.1, or in (3.5-27) of Theorem 3.5i, or in (3.5-29) of Theorem 3.5j, or in (3.5-32) of
