An elementary and direct proof of the Painlevé property for the Painlevé equations I, II and IV (Q1880926)
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scientific article; zbMATH DE number 2103490
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An elementary and direct proof of the Painlevé property for the Painlevé equations I, II and IV |
scientific article; zbMATH DE number 2103490 |
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An elementary and direct proof of the Painlevé property for the Painlevé equations I, II and IV (English)
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27 September 2004
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The authors present a new proof that all solutions of the Painlevé equations I, II and IV are meromorphic functions on the whole complex plane. The novelty of the proof is that regular systems corresponding to these equations are considered near the singularities instead of, as it is usual, at singularities.
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Painlevê equations
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meromorphic solutions
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0.88826597
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0.8791351
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0.8775058
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0.8750458
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0.8749073
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0.87380254
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