ABSTRACT

Since g(z)/z -:;; 0 in U, by using Lemma 1.2c we deduce that the function p

defined by

(2.5-10) p(z)

(where all powers are chosen as principal ones) is analytic in U and

To apply Theorem 2.3i we only have to show that 'If E 'Pn { Q, I}. This is

equivalent to showing that 'If satisfies the admissibility condition given by

:e c [ 1 + 2p 1m c+ I c 12 p 2 ], z E U, and n ~ 1. Assume that (2.5-11) is false. In this case,