Briot-Bouquet differential subordination and Bernardi's integral operator

The conditions on A, B, \beta and \gamma are obtained for an analytic function p defined on the open unit disc \mathbb{D} and normalized by p(0)=1 to be subordinate to (1+Az)/(1+Bz), -1\leq B<A \leq 1 when p(z)+ zp'(z)/(\beta p(z)+\gamma) is subordinate to e^{z}. The conditions on these parameters are derived... Show more