A unified framework for Bohr-type inequalities using multiple Schwarz functions
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912620914671616 |
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| author | Biswas, Raju Mandal, Rajib |
| author_facet | Biswas, Raju Mandal, Rajib |
| contents | This paper introduces a unified framework for Bohr-type inequalities by incorporating multiple Schwarz functions into the majorant series for $K$-quasiconformal harmonic mappings in the unit disk $\mathbb{D} := \{z\in\mathbb{C} : |z| < 1\}$. In this study, we establish several improved and refined versions of the Bohr inequality that generalize and interconnect numerous known results. Our approach not only systematically recovers the existing theorems as special cases but also generates new results that are inaccessible through single-function methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_00684 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A unified framework for Bohr-type inequalities using multiple Schwarz functions Biswas, Raju Mandal, Rajib Complex Variables 30A10, 30B10, 30C62, 30C75 This paper introduces a unified framework for Bohr-type inequalities by incorporating multiple Schwarz functions into the majorant series for $K$-quasiconformal harmonic mappings in the unit disk $\mathbb{D} := \{z\in\mathbb{C} : |z| < 1\}$. In this study, we establish several improved and refined versions of the Bohr inequality that generalize and interconnect numerous known results. Our approach not only systematically recovers the existing theorems as special cases but also generates new results that are inaccessible through single-function methods. |
| title | A unified framework for Bohr-type inequalities using multiple Schwarz functions |
| topic | Complex Variables 30A10, 30B10, 30C62, 30C75 |
| url | https://arxiv.org/abs/2510.00684 |