The Bohr's phenomenon for certain K-quasiconformal harmonic mappings
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866912133652938752 |
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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 versions of improved Bohr inequalities, refined Bohr inequalities, and Bohr-Rogosinski inequalities for the class of $K$-quasiconformal sense-preserving harmonic mappings $f=h+\overline{g}$ in the unit disk $\Bbb{D}:=\{z\in\mathbb{C}: |z|<1\}$, where $f$ and $g$ are analytic functions in $\mathbb{D}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_04094 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Bohr's phenomenon for certain K-quasiconformal harmonic mappings Allu, Vasudevarao Biswas, Raju Mandal, Rajib Complex Variables 30A10, 30B10, 30C45, 30C62, 30C80 The primary objective of this paper is to establish several sharp versions of improved Bohr inequalities, refined Bohr inequalities, and Bohr-Rogosinski inequalities for the class of $K$-quasiconformal sense-preserving harmonic mappings $f=h+\overline{g}$ in the unit disk $\Bbb{D}:=\{z\in\mathbb{C}: |z|<1\}$, where $f$ and $g$ are analytic functions in $\mathbb{D}$. |
| title | The Bohr's phenomenon for certain K-quasiconformal harmonic mappings |
| topic | Complex Variables 30A10, 30B10, 30C45, 30C62, 30C80 |
| url | https://arxiv.org/abs/2411.04094 |