Bohr inequality and Bohr-Rogosinski inequality for $K$-Quasiconformal harmonic mappings
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908474815807488 |
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| author | Ahamed, Molla Basir Rahman, Taimur |
| author_facet | Ahamed, Molla Basir Rahman, Taimur |
| contents | In this paper, we prove several sharp Bohr-type and Bohr-Rogosinski-type inequalities for $K$-quasiconformal, sense-preserving harmonic mappings on $\mathbb{D}$, whose analytic part is subordinate to a function belonging to the class of concave univalent functions on $\mathbb{D}$. In addition, we derive Bohr-type inequalities for $K$-quasiconformal, sense-preserving harmonic mappings on $\mathbb{D}$, where the analytic part is subordinate to a function from the Ma-Minda class of convex and starlike functions. The results generalize several existing results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_00012 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bohr inequality and Bohr-Rogosinski inequality for $K$-Quasiconformal harmonic mappings Ahamed, Molla Basir Rahman, Taimur Complex Variables Primary 30A10, 30C45, 30C62, 30C50 In this paper, we prove several sharp Bohr-type and Bohr-Rogosinski-type inequalities for $K$-quasiconformal, sense-preserving harmonic mappings on $\mathbb{D}$, whose analytic part is subordinate to a function belonging to the class of concave univalent functions on $\mathbb{D}$. In addition, we derive Bohr-type inequalities for $K$-quasiconformal, sense-preserving harmonic mappings on $\mathbb{D}$, where the analytic part is subordinate to a function from the Ma-Minda class of convex and starlike functions. The results generalize several existing results. |
| title | Bohr inequality and Bohr-Rogosinski inequality for $K$-Quasiconformal harmonic mappings |
| topic | Complex Variables Primary 30A10, 30C45, 30C62, 30C50 |
| url | https://arxiv.org/abs/2508.00012 |