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On meromorphic functions that share one small function with their derivatives. (English) Zbl 1389.30137

Summary: In this paper, we study the problem of meromorphic functions sharing a small function with its derivative and prove one theorem. The theorem improves the results of I. Lahiri and A. Sarkar [JIPAM, J. Inequal. Pure Appl. Math. 5, No. 1, Paper No. 20 (2004; Zbl 1056.30030)] and Q. Zhang [ibid. 6, No. 4, Paper No. 116 (2005; Zbl 1097.30033)].

MSC:

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