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

A first-order differential double subordination with applications

Complex Variables 2011-12-30 v1

Authors: 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 $\Phi$ -like functions.

Keywords

starlike functions univalent functions

Cite

@article{arxiv.1108.4088,
  title  = {A first-order differential double subordination with applications},
  author = {Rosihan M. Ali and Nak Eun Cho and Oh Sang Kwon and V. Ravichandran},
  journal= {arXiv preprint arXiv:1108.4088},
  year   = {2011}
}

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