Frank, Günter; Reinders, Martin A unique range set for meromorphic functions with 11 elements. (English) Zbl 1054.30519 Complex Variables, Theory Appl. 37, No. 1-4, 185-193 (1998). 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. Cited in 3 ReviewsCited in 33 Documents MSC: 30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory Citations:Zbl 0919.30023 PDFBibTeX XMLCite \textit{G. Frank} and \textit{M. Reinders}, Complex Variables, Theory Appl. 37, No. 1--4, 185--193 (1998; Zbl 1054.30519) Full Text: DOI