ABSTRACT
B(z) = 1, C(z) = z::~~~) + 1 and D(z) = z:·~~~) , then D{O) = 0 and the inequality r < (n + 1)/2 implies Re C(z) > -n. Hence we can apply Corollary 4.1 b.1 to obtain I Q(z) I < N , or
(5.5-9)
where
and M is given by (5.5-7). It is ,easy to check that M 2 + N 2 = 1, which implies that N < 1. A simple geometric argument shows that the inequality in (5.5-9) implies that
(5.5-10) I 1m P(z) I < N ·l P(z) 1.
