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A Particular Solution of a Painlevé System in Terms of the Hypergeometric Function n+1Fn
In a recent work, we proposed the coupled Painlevé VI system with A2n+1⁽¹⁾-symmetry, which is a higher order generalization of the sixth Painlevé equation (PVI). In this article, we present its particular solution expressed in terms of the hypergeometric function n+1Fn. We also discuss a degeneratio...
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Інститут математики НАН України
2010
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/146500 |
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irk-123456789-1465002019-02-10T01:25:11Z A Particular Solution of a Painlevé System in Terms of the Hypergeometric Function n+1Fn Suzuki, T. In a recent work, we proposed the coupled Painlevé VI system with A2n+1⁽¹⁾-symmetry, which is a higher order generalization of the sixth Painlevé equation (PVI). In this article, we present its particular solution expressed in terms of the hypergeometric function n+1Fn. We also discuss a degeneration structure of the Painlevé system derived from the confluence of n+1Fn. 2010 Article A Particular Solution of a Painlevé System in Terms of the Hypergeometric Function n+1Fn / T. Suzuki // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 6 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 17B80; 33C20; 34M55 DOI:10.3842/SIGMA.2010.078 http://dspace.nbuv.gov.ua/handle/123456789/146500 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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English |
| description |
In a recent work, we proposed the coupled Painlevé VI system with A2n+1⁽¹⁾-symmetry, which is a higher order generalization of the sixth Painlevé equation (PVI). In this article, we present its particular solution expressed in terms of the hypergeometric function n+1Fn. We also discuss a degeneration structure of the Painlevé system derived from the confluence of n+1Fn. |
| format |
Article |
| author |
Suzuki, T. |
| spellingShingle |
Suzuki, T. A Particular Solution of a Painlevé System in Terms of the Hypergeometric Function n+1Fn Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Suzuki, T. |
| author_sort |
Suzuki, T. |
| title |
A Particular Solution of a Painlevé System in Terms of the Hypergeometric Function n+1Fn |
| title_short |
A Particular Solution of a Painlevé System in Terms of the Hypergeometric Function n+1Fn |
| title_full |
A Particular Solution of a Painlevé System in Terms of the Hypergeometric Function n+1Fn |
| title_fullStr |
A Particular Solution of a Painlevé System in Terms of the Hypergeometric Function n+1Fn |
| title_full_unstemmed |
A Particular Solution of a Painlevé System in Terms of the Hypergeometric Function n+1Fn |
| title_sort |
particular solution of a painlevé system in terms of the hypergeometric function n+1fn |
| publisher |
Інститут математики НАН України |
| publishDate |
2010 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146500 |
| citation_txt |
A Particular Solution of a Painlevé System in Terms of the Hypergeometric Function n+1Fn / T. Suzuki // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 6 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT suzukit aparticularsolutionofapainlevesystemintermsofthehypergeometricfunctionn1fn AT suzukit particularsolutionofapainlevesystemintermsofthehypergeometricfunctionn1fn |
| first_indexed |
2023-05-20T17:24:56Z |
| last_indexed |
2023-05-20T17:24:56Z |
| _version_ |
1796153237379743744 |