Uniqueness of entire function concerning derivatives and shifts
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866914087836844032 |
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| author | Majumder, Sujoy Sarkar, Nabadwip |
| author_facet | Majumder, Sujoy Sarkar, Nabadwip |
| contents | In the paper, we investigate the uniqueness problem of entire function concerning its derivative and shift and obtain two results. On of our result solves the open problem posed by Majumder et al. (On a conjecture of Li and Yang, Hiroshima Math. J., 53 (2023), 199-223) and the other result improves and generalizes the recent result due to Huang and Fang (Unicity of entire functions concerning their shifts and derivatives, Comput. Methods Funct. Theory, 21 (2021), 523-532) in a large extend. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_10275 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Uniqueness of entire function concerning derivatives and shifts Majumder, Sujoy Sarkar, Nabadwip Complex Variables Primary 30D35, Secondary 34A20 In the paper, we investigate the uniqueness problem of entire function concerning its derivative and shift and obtain two results. On of our result solves the open problem posed by Majumder et al. (On a conjecture of Li and Yang, Hiroshima Math. J., 53 (2023), 199-223) and the other result improves and generalizes the recent result due to Huang and Fang (Unicity of entire functions concerning their shifts and derivatives, Comput. Methods Funct. Theory, 21 (2021), 523-532) in a large extend. |
| title | Uniqueness of entire function concerning derivatives and shifts |
| topic | Complex Variables Primary 30D35, Secondary 34A20 |
| url | https://arxiv.org/abs/2510.10275 |