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arXiv · 1108.4088

A first-order differential double subordination with applications

Rosihan M. Ali·Nak Eun Cho·Oh Sang Kwon·V. Ravichandran
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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 $q_1(z)\prec p(z)\prec q_2(z)$. The differential sandwich-type result obtained is applied to normalized univalent functions and to $Φ$-like functions.

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Rosihan M. Ali, Nak Eun Cho, Oh Sang Kwon, V. Ravichandran. 2011-08-20. A first-order differential double subordination with applications. https://doi.org/10.1016/j.aml.2011.08.025

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