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Meromorphic functions that share two or three values. (English) Zbl 0712.30029
The author proves the following: Theorem: Let f and g be meromorphic functions such that f and g share 1,\(\infty\) with the same multiplicity. If \[ N(\gamma,\frac{1}{f})+N(\gamma,\frac{1}{g})+2\bar N(\gamma,f)<(u+o(1))T(\gamma)\quad (\gamma \in I), \] where \(u<1\), then \(f=g\) or \(fg=1\). This result is an extension of earlier results of the reviewer, Osgood, Gunderson and others.
Reviewer: Fred Gross

30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory
Full Text: DOI
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