A Particular Solution of a Painlevé System in Terms of the Hypergeometric Function n+1Fn

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dc.contributor.authorSuzuki, T.
dc.date.accessioned2019-02-09T19:27:04Z
dc.date.available2019-02-09T19:27:04Z
dc.date.issued2010
dc.description.abstractIn 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.uk_UA
dc.description.sponsorshipThis paper is a contribution to the Special Issue “Relationship of Orthogonal Polynomials and Special Functions with Quantum Groups and Integrable Systems”. The full collection is available at http://www.emis.de/journals/SIGMA/OPSF.html. The author would like to express his gratitude to Mr. Masaomi Miyamoto of Kobe University for fruitful discussion. The author is also grateful to Professors Masatoshi Noumi, Hidetaka Sakai, Teruhisa Tsuda and Yasuhiko Yamada for helpful comments and advices.uk_UA
dc.identifier.citationA 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.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 17B80; 33C20; 34M55
dc.identifier.otherDOI:10.3842/SIGMA.2010.078
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/146500
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleA Particular Solution of a Painlevé System in Terms of the Hypergeometric Function n+1Fnuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6, випуск за цей рік