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Results on algebroid functions in \(k\)-punctured complex plane. (English) Zbl 1436.30025

Summary: The main purpose of this paper is to investigate some properties of algebroid function in the \(k\)-punctured complex plane. We establish the first and second fundamental theorems, the Cartan theorem for algebroid function in the \(k\)-punctured complex plane, which extend the Nevanlinna theory for algebroid functions from single connected domain to multiple connected domain.

MSC:

30D30 Meromorphic functions of one complex variable (general theory)
30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory
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