Differential sandwich theorems for some subclasses of analytic functions associated with linear operator

摘要

Let q1 and q2 be univalent in Δ := {z:∣z∣ < 1} with q1(0) = q2(0) = 1. We give some applications of first order differential subordination and superordination to obtain sufficient conditions for a normalized analytic functions f(z) with f(0) = f′(0) = 1 to satisfyq1(z)≺zf′(z)f(z)≺q2(z).