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.
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
World Scientific Publishing
2025-01-01
|
| Series: | Mathematics Open |
| Subjects: | |
| Online Access: | https://www.worldscientific.com/doi/10.1142/S2811007224500111 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832546392144347136 |
|---|---|
| author | Yusuf Abu Muhanna Issam Louhichi |
| author_facet | Yusuf Abu Muhanna Issam Louhichi |
| author_sort | Yusuf Abu Muhanna |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-458cc7ab6b4049c186a6e14cf565580a |
| institution | Kabale University |
| issn | 2811-0072 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | World Scientific Publishing |
| record_format | Article |
| series | Mathematics Open |
| spelling | doaj-art-458cc7ab6b4049c186a6e14cf565580a2025-02-03T07:04:30ZengWorld Scientific PublishingMathematics Open2811-00722025-01-010410.1142/S2811007224500111Bohr’s inequality for analytic functions with hyperbolic rangeYusuf Abu Muhanna0Issam Louhichi1Department of Mathematics and Statistics, College of Arts and Sciences, American University of Sharjah, P. O. Box 26666, Sharjah, United Arab EmiratesDepartment of Mathematics and Statistics, College of Arts and Sciences, American University of Sharjah, P. O. Box 26666, Sharjah, United Arab EmiratesIn 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.https://www.worldscientific.com/doi/10.1142/S2811007224500111Bohr’s inequalityBohr’s operatorhyperbolic domainunivalent function |
| spellingShingle | Yusuf Abu Muhanna Issam Louhichi Bohr’s inequality for analytic functions with hyperbolic range Mathematics Open Bohr’s inequality Bohr’s operator hyperbolic domain univalent function |
| title | Bohr’s inequality for analytic functions with hyperbolic range |
| title_full | Bohr’s inequality for analytic functions with hyperbolic range |
| title_fullStr | Bohr’s inequality for analytic functions with hyperbolic range |
| title_full_unstemmed | Bohr’s inequality for analytic functions with hyperbolic range |
| title_short | Bohr’s inequality for analytic functions with hyperbolic range |
| title_sort | bohr s inequality for analytic functions with hyperbolic range |
| topic | Bohr’s inequality Bohr’s operator hyperbolic domain univalent function |
| url | https://www.worldscientific.com/doi/10.1142/S2811007224500111 |
| work_keys_str_mv | AT yusufabumuhanna bohrsinequalityforanalyticfunctionswithhyperbolicrange AT issamlouhichi bohrsinequalityforanalyticfunctionswithhyperbolicrange |