Painlevé Equation PII and Strongly Normal Extensions
The aim of this paper is to show that if F is a differential field and y is a PII transcendent such that tr.deg.F 〈y〉 = 2, then every constant in F〈y〉 is in F. We also show that in this case, F〈y〉 is not contained in any strongly normal extension.
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| Format: | Article |
| Language: | English |
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De Gruyter
2016-12-01
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| Series: | Demonstratio Mathematica |
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| Online Access: | http://www.degruyter.com/view/j/dema.2016.49.issue-4/dema-2016-0033/dema-2016-0033.xml?format=INT |