2024/04/16 by Lü, Feng
#30D30 #Complex Variables (math.CV) #FOS: Mathematics
paper · doi:10.48550/arxiv.2404.10248
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.