Abstract
Let p( z) be analytic in the unit disc D, let g( z) be convex in D, let ƒ( z) be analytic in D such that z(ƒ′( z)/ƒ( z)) is analytic and different from zero in D, and let α and β be complex numbers. The authors show that if [formula], where ≺ denotes subordination and [formula] is satisfied, then p( z)≺ g( z). Further, if the differential equation [formula] verifying (1), has a univalent solution q( z), then sharp subordination p( z)≺ q( z) holds.
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