Radius Constants of Sigmoid Starlike Functions
In the present investigation, we study the class of Sigmoid starlike functions, given by $\mathcal{S}^*_{SG}=\{f\in\mathcal{A}: {zf'(z)}/{f(z)}\prec 2/(1+e^{-z})\}$ in context of estimating the sharp radius constants associated with several known subclasses of starlike functions. Further, graph...
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| Main Authors: | , |
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| Format: | Journal Article |
| Language: | English |
| Published: |
02-08-2022
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| Subjects: | |
| Online Access: | Get full text |
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| Summary: | In the present investigation, we study the class of Sigmoid starlike
functions, given by $\mathcal{S}^*_{SG}=\{f\in\mathcal{A}: {zf'(z)}/{f(z)}\prec
2/(1+e^{-z})\}$ 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. |
|---|---|
| DOI: | 10.48550/arxiv.2208.01241 |