A problem of Heittokangas-Ishizaki-Tohge-Wen concerning a certain differential-difference equation
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866910046938464256 |
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| author | Xiang, Xuxu Long, Jianren |
| author_facet | Xiang, Xuxu Long, Jianren |
| contents | All the finite order entire solutions of \begin{equation*} f^n(z)+q(z)e^{Q(z)}f^{(k)}(z+c)=P(z) \end{equation*} are given, where $ q(z) $, $ Q(z), P(z) $ are polynomials, $ k $ and $ n \geq 2 $ are integers, and $ c \in \mathbb{C} \setminus \{0\} $.This solves an open problem of Heittokangas-Ishizaki-Tohge-Wen [Bull. Lond. Math. Soc. 55, 1-77 (2023)]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_23627 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A problem of Heittokangas-Ishizaki-Tohge-Wen concerning a certain differential-difference equation Xiang, Xuxu Long, Jianren Complex Variables 30D35, 39B32 All the finite order entire solutions of \begin{equation*} f^n(z)+q(z)e^{Q(z)}f^{(k)}(z+c)=P(z) \end{equation*} are given, where $ q(z) $, $ Q(z), P(z) $ are polynomials, $ k $ and $ n \geq 2 $ are integers, and $ c \in \mathbb{C} \setminus \{0\} $.This solves an open problem of Heittokangas-Ishizaki-Tohge-Wen [Bull. Lond. Math. Soc. 55, 1-77 (2023)]. |
| title | A problem of Heittokangas-Ishizaki-Tohge-Wen concerning a certain differential-difference equation |
| topic | Complex Variables 30D35, 39B32 |
| url | https://arxiv.org/abs/2602.23627 |