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The Julia direction of quasimeromorphic mappings. - MaRDI portal

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The Julia direction of quasimeromorphic mappings. (Q2764447)

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scientific article; zbMATH DE number 1690430
Language Label Description Also known as
English
The Julia direction of quasimeromorphic mappings.
scientific article; zbMATH DE number 1690430

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    2001
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    \(K\)-quasi-meromorphic mapping
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    Julia direction
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    value distribution theory
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    The Julia direction of quasimeromorphic mappings. (English)
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    \textit{D. C. Sun} and \textit{L. Yang} [Complex Variables, Theory Appl. 34, No. 1-2, 219--29 (1997; Zbl 0907.30022)] 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 Julia directions of \(K\)-quasi-meromorphic mappings defined on the complex plane, which is an analogue of a well-known result in value distribution theory of meromorphic functions.
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