The theorems of Liouville, Picard, and Sokhotskii for ring mappings
Zhytomyr State University Library
View Archive Info| Field | Value | |
| Relation |
http://eprints.zu.edu.ua/13853/
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| Title |
The theorems of Liouville, Picard, and Sokhotskii for ring mappings |
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| Creator |
Sevost’yanov, Е. А.
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| Subject |
Mathematical Analysis
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| Description |
It is proved that an isolated singularity x0 2 D of the open discrete ring Q-mapping f : D \ {x0} ! Rn is removable provided that a function Q(x) has finite mean oscillation at x0, or has logarithmic singularities of the order, not greater than n − 1 at x0. Moreover, the extended mapping is open and discrete. As applications, we got the analogs of the well-known theorems of Liouville, Picard, and Sokhotskii. |
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| Date |
2008
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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/13853/1/UMB_2.pdf
Sevost’yanov, Е. А. (2008) The theorems of Liouville, Picard, and Sokhotskii for ring mappings. Ukrainian Mathematical Bulletin, 5 (3). pp. 361-375. |
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