Meromorphic functions that partially share values with their first derivative
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908943240921088 |
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| author | Sauer, Andreas Schweizer, Andreas |
| author_facet | Sauer, Andreas Schweizer, Andreas |
| contents | We consider uniqueness results for meromorphic functions $f:{\mathbb C} \to \widehat{\mathbb C}$ such that for certain values $a\in {\mathbb C}$ the implication $f(z)=a \Rightarrow f'(z)=a$ holds, i.e. that $f$ and $f'$ share values {\it partially}. In particular, we give a result for four partially shared values. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_09548 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Meromorphic functions that partially share values with their first derivative Sauer, Andreas Schweizer, Andreas Complex Variables 30D35 (primary), 30D45 (secondary) We consider uniqueness results for meromorphic functions $f:{\mathbb C} \to \widehat{\mathbb C}$ such that for certain values $a\in {\mathbb C}$ the implication $f(z)=a \Rightarrow f'(z)=a$ holds, i.e. that $f$ and $f'$ share values {\it partially}. In particular, we give a result for four partially shared values. |
| title | Meromorphic functions that partially share values with their first derivative |
| topic | Complex Variables 30D35 (primary), 30D45 (secondary) |
| url | https://arxiv.org/abs/2508.09548 |