Radius Constants of Sigmoid Starlike Functions

preprint2022arXivOpen access

Abstract

In the present investigation, we study the class of Sigmoid starlike functions, given by SSG∗={f∈A:zf′(z)/f(z)≺2/(1+e−z)}\mathcal{S}^*_{SG}=\{f\in\mathcal{A}: {zf'(z)}/{f(z)}\prec 2/(1+e^{-z})\} in context of estimating the sharp radius constants associated with several known subclasses of starlike functions. Further, graphical validation for the sharpness of results is also provided.

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