ABSTRACT

This last theorem is a major extension of Theorem 2 in [ 186 ], which provided

some conditions for the univalency of the solutions of the Briot-Bouquet

differential equation.

The next subordination result depends on the solutions of a first-order linear

differential equation

with w(O) = 11 c. If we let z

b(z) I B(t) - c = z exp dt ct ' 0

then (3.2-20) has the analytic solution given by

(3.2-21) w(z) =

where w e .J./[1/c, n].