A first-order differential double subordination with applications

Abstract

Let q1 and q2 belong to a certain class of normalized analytic univalent functions in the open unit disk of the complex plane. Sufficient conditions are obtained for normalized analytic functions p to satisfy the double subordination chain q1(z) p(z) q2(z). The differential sandwich-type result obtained is applied to normalized univalent functions and to -like functions.

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