Abstract:In this article, we determine the Rogosinski radii for certain subclasses of close-to-convex functions defined on open unit disc $\mathbb{D}= \{z \in \mathbb{C}: |z| < 1\}$. Furthermore, we establish improved versions of the classical Bohr inequality and the Bohr-Rogosinski inequality pertaining to these subclasses. We demonstrate that all results derived in the study are sharp.
| Subjects: | Complex Variables (math.CV) |
| MSC classes: | 30C45, 30C50, 30C80 |
| Cite as: | arXiv:2605.22930 [math.CV] |
| (or arXiv:2605.22930v1 [math.CV] for this version) | |
| https://doi.org/10.48550/arXiv.2605.22930 arXiv-issued DOI via DataCite |
From: Naveen Jain [view email]
[v1]
Thu, 21 May 2026 18:06:30 UTC (51 KB)
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