Partial sharing and cross sharing of entire function with its derivative
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916967722516480 |
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| author | Majumder, Sujoy Sarkar, Nabadwip Pramanik, Debabrata |
| author_facet | Majumder, Sujoy Sarkar, Nabadwip Pramanik, Debabrata |
| contents | In the paper, we investigate the uniqueness problem of a power of an entire function that share one value partially with it's linear differential polynomial and obtain a result, which improves several previous results in a large scale. Also in the paper we include some applications of our main result. Moreover, we solve the question raised by Wang and Liu (Value cross-sharing of meromorphic functions, Comput. Methods Funct. Theory (2023). https://doi.org/10.1007/s40315-023-00481-9) for a special case related to value cross-sharing. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_20273 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Partial sharing and cross sharing of entire function with its derivative Majumder, Sujoy Sarkar, Nabadwip Pramanik, Debabrata Complex Variables 30D35, 30D45 In the paper, we investigate the uniqueness problem of a power of an entire function that share one value partially with it's linear differential polynomial and obtain a result, which improves several previous results in a large scale. Also in the paper we include some applications of our main result. Moreover, we solve the question raised by Wang and Liu (Value cross-sharing of meromorphic functions, Comput. Methods Funct. Theory (2023). https://doi.org/10.1007/s40315-023-00481-9) for a special case related to value cross-sharing. |
| title | Partial sharing and cross sharing of entire function with its derivative |
| topic | Complex Variables 30D35, 30D45 |
| url | https://arxiv.org/abs/2509.20273 |