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Uniqueness of meromorphic functions and differential polynomials. (English) Zbl 1035.30018
Summary: Using Nevanlinna value distribution theory, we study the uniqueness of meromorphic functions concerning differential polynomials, and prove the following theorem. Let \(f(z)\) and \(g(z)\) be two nonconstant meromorphic functions, \(n(\geq 13)\) be a positive integer. If \(f^n(f - 1)^2f'\) and \(g^n(g - 1)^2g'\) share 1 CM, then \(f \equiv g\).

MSC:
30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory
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