On the two conjectures
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866917086415028224 |
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| author | Sarkar, Nabadwip Pramanik, Debabrata Mahato, Lata |
| author_facet | Sarkar, Nabadwip Pramanik, Debabrata Mahato, Lata |
| contents | In this paper, we investigate the uniqueness problem of entire functions that share an entire function with their higher-order difference operators. We obtain two results that confirm the conjectures posed by Liu and Laine \cite{LL1} and by Zhang et al. \cite{ZKL1}, respectively. In addition, we present several relevant examples to further illustrate and support our findings |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_13796 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the two conjectures Sarkar, Nabadwip Pramanik, Debabrata Mahato, Lata Complex Variables In this paper, we investigate the uniqueness problem of entire functions that share an entire function with their higher-order difference operators. We obtain two results that confirm the conjectures posed by Liu and Laine \cite{LL1} and by Zhang et al. \cite{ZKL1}, respectively. In addition, we present several relevant examples to further illustrate and support our findings |
| title | On the two conjectures |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2511.13796 |