The Borel point of quasi-conformal mapping (Q2774215)
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scientific article; zbMATH DE number 1713470
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Borel point of quasi-conformal mapping |
scientific article; zbMATH DE number 1713470 |
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28 February 2002
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Borel point
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\(K\)-quasi-meromorphic mapping
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value distribution theory
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The Borel point of quasi-conformal mapping (English)
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D. C. Sun and L. Yang [Sci. China, Ser. A 27, No. 2 (1997)] studied value distribution theory of a class of functions called \(K\)-quasi-meromorphic mappings by them, which is very similar to \(K\)-quasi-conformal mappings. Mainly they proved a result which is similar to the second main theorem of Nevanlinna. In this paper, the authors proved the existence of Borel points of \(K\)-quasi-meromorphic mappings (not quasi-conformal mappings as they stated in the title) defined on the unit disc according to the methods of \textit{M. Tsuji} [Potential theory in modern function theory, Tokyo: Maruzen (1959; Zbl 0087.28401)].
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