A Particular Solution of a Painlevé System in Terms of the Hypergeometric Function n+1Fn
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
A Particular Solution of a Painlevé System in Terms of the Hypergeometric Function n+1Fn
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| Creator |
Suzuki, T.
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| 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.
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| Date |
2019-02-09T19:27:04Z
2019-02-09T19:27:04Z 2010 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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