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On the generalization of two results of Cao and Zhang. (English) Zbl 06819591
Summary: This paper studies the uniqueness of meromorphic functions \[ f^n\prod_{i=1}^k(f^{(i)})^{n_i}\quad\text{and}\quad g^n\prod_{i=1}^k(g^{(i)})^{n_i} \] that share two values, where \(n,n_k,k\in\mathbb{N}\), \(n_i\in\mathbb{N}\cup\{0\}\), \(i=1,2,\ldots ,k-1\). The results significantly rectify, improve and generalize the results due to Y.-H. Cao and X.-B. Zhang [J. Inequal. Appl. 2012, Paper No. 100, 10 p. (2012; Zbl 1291.30193)].
MSC:
30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory
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