All meromorphic solutions of Fermat-type functional equations
Abstract
Abstract 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 $\mathbb {C}$ , 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.
Fields of Study & Subjects
Meromorphic and Entire Functions
Functional Equations Stability Results
Mathematics and Applications
Publication details
- Journal / source
- Nagoya Mathematical Journal
- Publisher
- Cambridge University Press (CUP)
- Volume
- 261
- Publication date
- 1 January 2026
- Language
- EN