Uniqueness of transcendental meromorphic functions with their nonlinear differential polynomials sharing the small function. (English) Zbl 1147.30023

The author considers the uniqueness of transcendental meromorphic functions \(f\) and \(g\) when \(f^{n}(f - 1)^{2}f'\) and \(g^{n}(g - 1)^{2}g'\) share a small function either ignoring multiplicities or with truncated multiplicities. His results improve some results of other authors.


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