Lifts of Logarithmic Derivatives
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866914115599990784 |
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| author | Grätsch, Matthias |
| author_facet | Grätsch, Matthias |
| contents | Consider a sequence of meromorphic functions $(f_n)_n$. This paper presents a technique that enables the transfer of convergence properties from $(f_n^{(m+1)}/f_n^{(m)})_n$ to subsequences of $(f_n^{(m)}/f_n^{(m-1)})_n$. As an application, we will show that the families of functions with bounded Schwarzian derivative are quasi-normal. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_04839 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Lifts of Logarithmic Derivatives Grätsch, Matthias Complex Variables 30D45 (Primary) 30D30, 30C45, 30C55 (Secondary) Consider a sequence of meromorphic functions $(f_n)_n$. This paper presents a technique that enables the transfer of convergence properties from $(f_n^{(m+1)}/f_n^{(m)})_n$ to subsequences of $(f_n^{(m)}/f_n^{(m-1)})_n$. As an application, we will show that the families of functions with bounded Schwarzian derivative are quasi-normal. |
| title | Lifts of Logarithmic Derivatives |
| topic | Complex Variables 30D45 (Primary) 30D30, 30C45, 30C55 (Secondary) |
| url | https://arxiv.org/abs/2410.04839 |