Bohr phenomenon for analytic and harmonic mappings on shifted disks
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866917350358384640 |
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| author | Allu, Vasudevarao Biswas, Raju Mandal, Rajib |
| author_facet | Allu, Vasudevarao Biswas, Raju Mandal, Rajib |
| contents | The primary objective of this paper is to establish several sharp results concerning the Bohr inequality, the refined Bohr inequality, and the improved Bohr inequality for the classes of analytic functions and harmonic mappings defined on the shifted disks \[ Ω_γ=\left\{z\in\mathbb{C}:\left|z+\fracγ{1-γ}\right|<\frac{1}{1-γ}\right\}\quad\text{for}\quadγ\in[0,1).\] |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_16834 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Bohr phenomenon for analytic and harmonic mappings on shifted disks Allu, Vasudevarao Biswas, Raju Mandal, Rajib Complex Variables 30A10, 30H05, 30C35, 30C45, 30C50, 30C80 The primary objective of this paper is to establish several sharp results concerning the Bohr inequality, the refined Bohr inequality, and the improved Bohr inequality for the classes of analytic functions and harmonic mappings defined on the shifted disks \[ Ω_γ=\left\{z\in\mathbb{C}:\left|z+\fracγ{1-γ}\right|<\frac{1}{1-γ}\right\}\quad\text{for}\quadγ\in[0,1).\] |
| title | Bohr phenomenon for analytic and harmonic mappings on shifted disks |
| topic | Complex Variables 30A10, 30H05, 30C35, 30C45, 30C50, 30C80 |
| url | https://arxiv.org/abs/2603.16834 |