On certain Generalizations of $\mathcal{S}^*(\psi)$: II
| Autor: | Gangania, Kamaljeet, Kumar, S. Sivaprasad |
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| Rok vydání: | 2021 |
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| Druh dokumentu: | Working Paper |
| Popis: | In this paper, we prove various radius results and obtain sufficient conditions using the convolution for the Ma-Minda classes $\mathcal{S}^*(\psi)$ and $\mathcal{C}(\psi)$ of starlike and convex analytic functions. We also obtain the Bohr radius for the class $ S_{f}(\psi):= \{g(z)=\sum_{k=1}^{\infty}b_k z^k : g \prec f \}$ of subordinants, where $f\in \mathcal{S}^*(\psi).$ The results are improvements and generalizations of several well known results. Comment: second half of the main results are from arXiv:2007.06069 |
| Databáze: | arXiv |
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