A note on a subclass of bazilevič functions
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866915942082019328 |
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| author | Thakur, Lokenath |
| author_facet | Thakur, Lokenath |
| contents | In this artcle, we introduce and investigate a subclass of Bazilevi{č} functions, denoted by $\mathcal{B}_{φ_{A,B}}(α^{(m)})$. We determine the Hardy space to which this subclass of Bazilevi{č} functions belong to. Additionally, we provide a necessary condition for a particular case of this subclass. Finally, we obtain a sharp coefficient estimate for the functions associated with $\mathcal{B}_1(α).$ |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_15974 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A note on a subclass of bazilevič functions Thakur, Lokenath Complex Variables 30C45, 30C55 In this artcle, we introduce and investigate a subclass of Bazilevi{č} functions, denoted by $\mathcal{B}_{φ_{A,B}}(α^{(m)})$. We determine the Hardy space to which this subclass of Bazilevi{č} functions belong to. Additionally, we provide a necessary condition for a particular case of this subclass. Finally, we obtain a sharp coefficient estimate for the functions associated with $\mathcal{B}_1(α).$ |
| title | A note on a subclass of bazilevič functions |
| topic | Complex Variables 30C45, 30C55 |
| url | https://arxiv.org/abs/2604.15974 |