ABSTRACT

THEOREM 3.5n. Let a, ~. y, () and a be real numbers satisfying a ~ 0, ~ > 0, a ~ 0 and a + 0 = ~ + y > 0. Let Po be given as in (3.5-13) or(3.5-16) and suppose that there exists p E [p0 , 1] such that

and 0 :::; ro(p), where ro is given by (3.5-15) or (3.5-17). Let <jl E ;})

satisfy Re z<jl'(z)/<jl(z) :::; ~ro(p) . If f, g E J(, then