On Bernardi’s integral operator and the Briot–Bouquet differential subordination ✩

Let A,B,D,E ∈ [−1, 1]. Conditions on A,B,D and E are determined so that p(z)+ zp (z) βp(z)+γ ≺ 1+Dz 1+ Ez implies p(z) ≺ 1+Az 1+Bz . The result is applied to Bernardi’s integral operator of two classes of analytic functions. © 2005 Elsevier Inc. All rights reserved