Uniqueness of entire functions sharing two values with their partial derivative operators
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866915997422714880 |
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| author | Majumder, Sujoy Pramanik, Debabrata Panja, Shantanu |
| author_facet | Majumder, Sujoy Pramanik, Debabrata Panja, Shantanu |
| contents | In this paper, we employ the theory of normal families in several complex variables to obtain some uniqueness theorems for entire functions. These results extend the related works of Li and Yi [11], and Lu et al. [18] to the setting of several complex variables. Moreover, some examples are provided to demonstrate the sharpness of our results. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2605_08748 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Uniqueness of entire functions sharing two values with their partial derivative operators Majumder, Sujoy Pramanik, Debabrata Panja, Shantanu Complex Variables 32A19, 32A22 and 32H30 In this paper, we employ the theory of normal families in several complex variables to obtain some uniqueness theorems for entire functions. These results extend the related works of Li and Yi [11], and Lu et al. [18] to the setting of several complex variables. Moreover, some examples are provided to demonstrate the sharpness of our results. |
| title | Uniqueness of entire functions sharing two values with their partial derivative operators |
| topic | Complex Variables 32A19, 32A22 and 32H30 |
| url | https://arxiv.org/abs/2605.08748 |