A first-order differential double subordination with applications

Rosihan M. Ali; Nak Eun Cho; Oh Sang Kwon; V. Ravichandran

doi:10.1016/j.aml.2011.08.025

paper

A first-order differential double subordination with applications

arXiv:1108.4088 · doi:10.1016/j.aml.2011.08.025

Abstract

Let $q_{1}$ and $q_{2}$ 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 $q_{1} (z) ≺ p (z) ≺ q_{2} (z)$ . The differential sandwich-type result obtained is applied to normalized univalent functions and to $Φ$ -like functions.