On entire solutions of two kinds of quadratic trinomial Fermat type functional equations
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908595233226752 |
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| author | Xiang, Xuxu Long, Jianren |
| author_facet | Xiang, Xuxu Long, Jianren |
| contents | The existence of entire solutions to quadratic trinomial Fermat type differential-difference equations and \(q\)-difference differential equations involving second-order derivatives is studied by using Nevanlinna theory, and the exact form of entire solutions of the equations mentioned above is founded. Furthermore, some examples are given to show these results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_13492 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On entire solutions of two kinds of quadratic trinomial Fermat type functional equations Xiang, Xuxu Long, Jianren Classical Analysis and ODEs Complex Variables 39B32, 30D35 The existence of entire solutions to quadratic trinomial Fermat type differential-difference equations and \(q\)-difference differential equations involving second-order derivatives is studied by using Nevanlinna theory, and the exact form of entire solutions of the equations mentioned above is founded. Furthermore, some examples are given to show these results. |
| title | On entire solutions of two kinds of quadratic trinomial Fermat type functional equations |
| topic | Classical Analysis and ODEs Complex Variables 39B32, 30D35 |
| url | https://arxiv.org/abs/2510.13492 |