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On the Nevanlinna direction of an algebroid function dealing with multiple values. (English) Zbl 1142.30329

Summary: By using Ahlfors’ theory of covering surfaces, we prove that for an algebroid function \(w(z)\) satisfying \(\limsup_{r\to\infty}T(r,w)/\log^2r=+\infty\), there exists at least one Nevanlinna direction dealing with multiple values.

MSC:

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