Painlevé-III Monodromy Maps Under the ₆ → ₈ Confluence and Applications to the Large-Parameter Asymptotics of Rational Solutions
The third Painlevé equation in its generic form, often referred to as Painlevé-III(₆), is given by d²/d² = 1/(d/d)² − 1/ d/d + (α² + β)/ + 4³ − 4/, α, β ∈ ℂ. Starting from a generic initial solution ₀() corresponding to parameters α, β, denoted as the triple (₀(), α, β), we apply an explicit Bäcklun...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2024 |
| Main Authors: | , , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2024
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/212104 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Painlevé-III Monodromy Maps Under the ₆ → ₈ Confluence and Applications to the Large-Parameter Asymptotics of Rational Solutions. Ahmad Barhoumi, Oleg Lisovyy, Peter D. Miller and Andrei Prokhorov. SIGMA 20 (2024), 019, 77 pages |