Kapaev's global asymptotics of the fourth Painlevé transcendents. Elliptic asymptotics
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916456253358080 |
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| author | Shimomura, Shun |
| author_facet | Shimomura, Shun |
| contents | For the fourth Painlevé transcendents we derive elliptic asymptotic representations, which were announced by late Professor Kapaev without proofs. Then we newly obtain related results including the correction function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_20347 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Kapaev's global asymptotics of the fourth Painlevé transcendents. Elliptic asymptotics Shimomura, Shun Classical Analysis and ODEs 34M55, 34M56, 34M40, 34M60, 33E05 For the fourth Painlevé transcendents we derive elliptic asymptotic representations, which were announced by late Professor Kapaev without proofs. Then we newly obtain related results including the correction function. |
| title | Kapaev's global asymptotics of the fourth Painlevé transcendents. Elliptic asymptotics |
| topic | Classical Analysis and ODEs 34M55, 34M56, 34M40, 34M60, 33E05 |
| url | https://arxiv.org/abs/2410.20347 |