+vi; z)] = a+

The next two examples illustrate the sensitivity of the admissible class to the

value of n.

EXAMPLE 2.4g. Let 'l'(r, s, t; z) = r + s + 1 - r2 , and a = 1. We first

show that 'I' e '1'0 { 1 }, for n ~ 2, that is, that admissibility condition given in (2.3-11) is satisfied. This follows since

EXAMPLE 2.4h. Let 'l'(r, s, t; z) = 2 - r 2 + 3s + t, and a = 1. We first show that 'I' e '1'0 { 1 }, for n ~ 2, that is, that admissibility condition given in (2.3-11) is satisfied. This follows since

If p e fi[1, n], with n ~ 2, then Re [ z2p"(z) + 3zp'(z) - p 2(z) + 2] > 0 => Re p(z) > 0.