Bohr’s inequality for analytic functions with hyperbolic range
In this paper, we use properties of the hyperbolic metric and the modular function to show that Bohr’s radius for covering maps onto hyperbolic domains is [Formula: see text] This includes almost all known classes of analytic functions.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
World Scientific Publishing
2025-01-01
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| Series: | Mathematics Open |
| Subjects: | |
| Online Access: | https://www.worldscientific.com/doi/10.1142/S2811007224500111 |
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| Summary: | In this paper, we use properties of the hyperbolic metric and the modular function to show that Bohr’s radius for covering maps onto hyperbolic domains is [Formula: see text] This includes almost all known classes of analytic functions. |
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| ISSN: | 2811-0072 |