Bohr Phenomenon for $K$-quasiconformal Harmonic Mappings Involving One Parameter
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866911147026808832 |
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| author | Ahamed, Molla Basir Rahman, Taimur |
| author_facet | Ahamed, Molla Basir Rahman, Taimur |
| contents | In this article, we study Bohr-type inequalities involving a parameter or convex combinations for $K$-quasiconformal, sense-preserving harmonic mappings in $\mathbb{D}$, where the analytic part is subordinate to a convex function. Moreover, we establish similar inequalities when the subordinating function is chosen from the class of concave univalent functions with pole $p$, as well as from the family of concave univalent functions with opening angle $πα$. The results generalize several existing results. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2509_08308 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bohr Phenomenon for $K$-quasiconformal Harmonic Mappings Involving One Parameter Ahamed, Molla Basir Rahman, Taimur Complex Variables Primary 30A10, 30C45, 30C62, 30C50 In this article, we study Bohr-type inequalities involving a parameter or convex combinations for $K$-quasiconformal, sense-preserving harmonic mappings in $\mathbb{D}$, where the analytic part is subordinate to a convex function. Moreover, we establish similar inequalities when the subordinating function is chosen from the class of concave univalent functions with pole $p$, as well as from the family of concave univalent functions with opening angle $πα$. The results generalize several existing results. |
| title | Bohr Phenomenon for $K$-quasiconformal Harmonic Mappings Involving One Parameter |
| topic | Complex Variables Primary 30A10, 30C45, 30C62, 30C50 |
| url | https://arxiv.org/abs/2509.08308 |