Further results about a special Fermat-type difference equation. (English) Zbl 1435.30097
Summary: In this paper, we prove the difference equation \(F(z)^3+ \Delta_cF (z + c)^3 = 1\) does not have meromorphic solution of finite order over the complex plane \(\mathbb{C} \). We also discuss an application to the unique range set problem.
MSC:
| 30D30 | Meromorphic functions of one complex variable (general theory) |
| 39A99 | Difference equations |
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