Abstract
The aim of this paper is twofold. Firstly, we study the non-existence of finite order meromorphic solutions to the Cubic type of Fermat functional equation \(f(z)^3-3\tau f(z)f(z+c)+f(z+c)^3=1\). In addition, the paper is concerned with the description of finite order entire solutions of the Quadratic type of Fermat functional equation \(f(z)^2-2\mu f(z)f(z+c)+f(z+c)^2=1\).
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Acknowledgements
The authors would like to thank the referee for his/her helpful suggestions. The research was supported by NNSF of China Project (11601521) and the Fundamental Research Fund for Central Universities in China Project (18CX02048A & 18CX02045A & 17CX02049 & YCX2019093).
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Wu, L., He, C., Lü, W. et al. Existence of meromorphic solutions of some generalized Fermat functional equations. Aequat. Math. 94, 59–69 (2020). https://doi.org/10.1007/s00010-019-00683-4
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DOI: https://doi.org/10.1007/s00010-019-00683-4