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Uniqueness of meromorphic functions concerning value sharing of nonlinear differential monomials. (English) Zbl 07250711
Summary: With the idea of normal family we study the uniqueness of meromorphic functions $$f$$ and $$g$$ when $$f^{n}(f^{(k)})^{m}-p$$ and $$g^{n}(g^{(k)})^{m}-p$$ share two values, where $$p$$ is any nonzero polynomial. The result of this paper significantly improves and generalizes the result due to A. Banerjee and S. Majumder [Bol. Soc. Mat. Mex., III. Ser. 24, No. 1, 155–180 (2018; Zbl 1390.30036)].
##### MSC:
 30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory 30D30 Meromorphic functions of one complex variable (general theory)
Zbl 1390.30036
Full Text:
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