Abstract
We study the non-existence of finite order meromorphic solutions to the Fermat-type difference equation \({f^3(z)+f^3(z+c)=1}\) over the complex plane C. An application to the unique range set problem is discussed.
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Feng Lü is supported by NNSF of China Project No. 11601521, and the Fundamental Research Fund for Central Universities in China Project Nos. 15CX05061A, 15CX05063A and 15CX08011A.
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Lü, F., Han, Q. On the Fermat-type equation \({f^3(z)+f^3(z+c)=1}\) . Aequat. Math. 91, 129–136 (2017). https://doi.org/10.1007/s00010-016-0443-x
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DOI: https://doi.org/10.1007/s00010-016-0443-x