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A unique range set for meromorphic functions with 11 elements. (English) Zbl 1054.30519

Summary: We show that there exists a set \(S\) with 11 elements such that the condition \(E_f(S)=E_g(S)\) implies \(f=g\) for any pair of non-constant meromorphic functions \(f\) and \(g\). For the proof we generalise an estimate of Hongxun Yi and E. Mues and M. Reinders [Kodai Math. J. 18, No. 3, 515–522 (1995; Zbl 0919.30023)] on meromorphic functions sharing one value.

MSC:

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

Citations:

Zbl 0919.30023
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