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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.10514 |
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| _version_ | 1866909589256011776 |
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| author | Kumar, S. Sivaprasad Yadav, Pooja |
| author_facet | Kumar, S. Sivaprasad Yadav, Pooja |
| contents | In the present investigation, we employ a new technique to find several first and second order differential subordination implications involving the following starlike class associated with a bean shaped domain: \begin{equation*} \mathcal{S}^*_{\mathfrak{B}}:=\left\{f\in\mathcal{S}:\dfrac{zf'(z)}{f(z)}\prec\sqrt{1+\tanh{z}}=:\mathfrak{B}(z)\right\}.
\end{equation*} Also, we give several applications stemming from our derived results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_10514 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A new differential subordination technique for a subclass of starlike functions Kumar, S. Sivaprasad Yadav, Pooja Complex Variables In the present investigation, we employ a new technique to find several first and second order differential subordination implications involving the following starlike class associated with a bean shaped domain: \begin{equation*} \mathcal{S}^*_{\mathfrak{B}}:=\left\{f\in\mathcal{S}:\dfrac{zf'(z)}{f(z)}\prec\sqrt{1+\tanh{z}}=:\mathfrak{B}(z)\right\}. \end{equation*} Also, we give several applications stemming from our derived results. |
| title | A new differential subordination technique for a subclass of starlike functions |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2407.10514 |