
Nevanlinna's five values theorem was generalized to small functions by \textit{Y. Li} and \textit{J. Qiao} [Sci. China, Ser. A 43, No. 6, 581--590 (2000; Zbl 0970.30018)]. In this paper, the authors consider the uniqueness of meromorphic functions sharing sets concerning small functions. They obtaine some results with conditions of weighted sharing. The main tool for the proof is the second fundamental theorem for small functions due to \textit{K. Yamanoi} [Acta Math. 192, No. 2, 225--294 (2004; Zbl 1203.30035)].
Nevanlinna theory, small functions, meromorphic function, Meromorphic functions of one complex variable (general theory), uniqueness problem, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory
Nevanlinna theory, small functions, meromorphic function, Meromorphic functions of one complex variable (general theory), uniqueness problem, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory
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