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Non-existence of meromorphic solutions of a Fermat type functional equation. (English) Zbl 1161.30022
The main result of the paper is a theorem on combination of three meromorphic functions. As applications of the main result, a theorem on Fermat type functional equations and a theorem on uniqueness of meromorphic functions sharing a value CM with the first derivative are proved.

MSC:
30D35Distribution of values (one complex variable); Nevanlinna theory
30D20General theory of entire functions