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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)
Citations:
Zbl 1390.30036
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