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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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Bibliographic Details
Main Author: Suzuki, T.
Format: Article
Language:English
Published: Інститут математики НАН України 2010
Series:Symmetry, Integrability and Geometry: Methods and Applications
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/146500
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