Sharp univalence and sharp univalent covering domains for the class of holomorphic self-maps of a disc with two fixed boundary points
The class of holomorphic self-maps of the unit disc with two fixed boundary points, one of which is attracting, is under consideration. Maximal univalence and univalent covering domains are found for the functions in this class that satisfy a bound on the value of the angular derivative at the repelling boundary point. Bibliography: 17 titles.
Authors
- Olga Sergeevna Kudryavtseva (ORCID: https://orcid.org/0000-0002-6996-5252)
- Алексей Петрович Солодов (ORCID: https://orcid.org/0000-0002-5910-2736)
Institutions
- Lomonosov Moscow State University (RU)
- Moscow Center For Continuous Mathematical Education (RU)
- Volgograd State Technical University (RU)
Publication Details
- Journal
- Sbornik Mathematics
- Published
- 2025-01-01
- DOI
- https://doi.org/10.4213/sm10118e
- Citations
- 1
- Primary Topic
- Holomorphic and Operator Theory
- Type
- article
- Field-Weighted Citation Impact
- 3.73
Funders
- Russian Science Foundation
- Foundation for the Advancement of Theoretical Physics and Mathematics
- Lomonosov Moscow State University