On the Branch Points of Mappings with the Unbounded Coefficient of Quasiconformality
Zhytomyr State University Library
View Archive Info| Field | Value | |
| Relation |
http://eprints.zu.edu.ua/13807/
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| Title |
On the Branch Points of Mappings with the Unbounded Coefficient of Quasiconformality
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| Creator |
Севостьянов, Е. А.
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| Subject |
Mathematical Analysis
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| Description |
We study relations between the quantity characterizing the distortion of families of curves under a given mapping and the structure of the branch point set of this mapping. For n ≥ 3 we establish that the image of the branch point set of an open discrete mapping with an isolated essential singularity is an unbounded set in Rn provided that the mapping satisfies certain geometric conditions controlling the distortion of concentric annuli centered at this point. |
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| Publisher |
Original Russian Text Copyright
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| Date |
2010
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| Type |
Article
PeerReviewed |
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| Format |
text
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| Language |
uk
english |
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| Identifier |
http://eprints.zu.edu.ua/13807/1/0899.pdf
Севостьянов, Е. А. (2010) On the Branch Points of Mappings with the Unbounded Coefficient of Quasiconformality. Siberian Mathematical Journal, 51 (5). pp. 899-912. |
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