On close-to-convex functions
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909614516207616 |
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| author | Nurezzaman, Md |
| author_facet | Nurezzaman, Md |
| contents | We consider a new subclass $\widetilde{\mathcal{K}}_u$ of close-to-convex functions in the unit disk $\mathbb{D}:=\{z\in\mathbb{C}:|z|<1\}$. For this class, we obtain sharp estimates of the Fekete-Szegö problem, growth and distortion theorem, radius of convexity and estimate of the pre-Schwarzian norm. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_11826 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On close-to-convex functions Nurezzaman, Md Complex Variables 30C45, 30C55 We consider a new subclass $\widetilde{\mathcal{K}}_u$ of close-to-convex functions in the unit disk $\mathbb{D}:=\{z\in\mathbb{C}:|z|<1\}$. For this class, we obtain sharp estimates of the Fekete-Szegö problem, growth and distortion theorem, radius of convexity and estimate of the pre-Schwarzian norm. |
| title | On close-to-convex functions |
| topic | Complex Variables 30C45, 30C55 |
| url | https://arxiv.org/abs/2505.11826 |