ABSTRACT

We next incorporate an additional function g and corresponding condition which enables us to obtain the following extension of Theorem 5.5a,

(5.5-6)

(5.5-7)

(5.5-8)

Proof Since -r < (n + 1)/2, from (5.5-6) we deduce that g'(z)::;:. 0 and from (5.5-7) we deduce that M > 0. If we let P(z) = f(z)/[ zg'(z)] and Q(z) = P(z)- 1, then P e .)/[1, n], Q e .JI[O, n] and we can write

This enables us to write (5.5-8) in the form