From subordination to complementarity?

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applications of subordination theory to starlike functions

let $p$ be an analytic function defined on the open unit disc $mathbb{d}$ with $p(0)=1.$ the conditions on $alpha$ and $beta$ are derived for $p(z)$ to be subordinate to $1+4z/3+2z^{2}/3=:varphi_{c}(z)$ when $(1-alpha)p(z)+alpha p^{2}(z)+beta zp'(z)/p(z)$ is subordinate to $e^{z}$. similar problems were investigated for $p(z)$ to lie in a region bounded by lemniscate of bernoulli $|w^{2}-1...

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ژورنال

عنوان ژورنال: Revista Latino-Americana de Enfermagem

سال: 2020

ISSN: 1518-8345

DOI: 10.1590/1518-8345.0000.3355