This article characterizes meromorphic solutions of Fermat-type functional equations, indicating implications for related equations.
In this article, by utilizing the properties of elliptic functions, we characterize the meromorphic solutions of Fermat-type functional equations f(z)ⁿ+f(L(z))ᵐ=1 over the complex plane C , where $L(z)$ is a nonconstant entire function, and m and n are two positive integers. As applications, we also investigate the meromorphic solutions of Fermat-type difference and q -difference equations.
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Feng Lü (2026) studied this question.
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