In this paper, by making use of properties of elliptic functions, we describe 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, m and n are two positive integers. As applications, we also consider meromorphic solutions of Fermat-type difference and q-difference equations.
No takes yet. Share an insight, caveat, or question.
Feng Lü (2024) studied this question.