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A Particular Solution of a Painlevé System in Terms of the Hypergeometric Function {}_{n+1}F_n

In a recent work, we proposed the coupled Painlevé VI system with A_{2n+1}^{(1)}-symmetry, which is a higher order generalization of the sixth Painlevé equation (P_{VI}). In this article, we present its particular solution expressed in terms of the hypergeometric function {}_{n+1}F_n. We also discus...

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Autor principal: Takao Suzuki
Formato: Artigo
Idioma:Inglês
Publicado em: National Academy of Science of Ukraine 2010-10-01
coleção:Symmetry, Integrability and Geometry: Methods and Applications
Assuntos:
Acesso em linha:http://dx.doi.org/10.3842/SIGMA.2010.078
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