A Note on Normal Families Concerning Nonexceptional Functions and Differential Polynomials
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908429789954048 |
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| author | Bharti, Nikhil Singh, Anil |
| author_facet | Bharti, Nikhil Singh, Anil |
| contents | We study normality of a family of meromorphic functions, whose differential polynomials satisfy a certain condition, which significantly improves and generalizes some recent results of Chen (Filomat, 31(14) 2017, 4665-4671). Moreover, we demonstrate, with the help of examples, that the result is sharp. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_09531 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Note on Normal Families Concerning Nonexceptional Functions and Differential Polynomials Bharti, Nikhil Singh, Anil Complex Variables Primary 30D45, Secondary 30D30, 30D35, 34M05 We study normality of a family of meromorphic functions, whose differential polynomials satisfy a certain condition, which significantly improves and generalizes some recent results of Chen (Filomat, 31(14) 2017, 4665-4671). Moreover, we demonstrate, with the help of examples, that the result is sharp. |
| title | A Note on Normal Families Concerning Nonexceptional Functions and Differential Polynomials |
| topic | Complex Variables Primary 30D45, Secondary 30D30, 30D35, 34M05 |
| url | https://arxiv.org/abs/2506.09531 |