An Elliptic Garnier System from Interpolation

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dc.contributor.authorYamada, Y.
dc.date.accessioned2019-02-18T18:24:31Z
dc.date.available2019-02-18T18:24:31Z
dc.date.issued2017
dc.description.abstractConsidering a certain interpolation problem, we derive a series of elliptic difference isomonodromic systems together with their Lax forms. These systems give a multivariate extension of the elliptic Painlevé equation.uk_UA
dc.description.sponsorshipThis paper is a contribution to the Special Issue on Elliptic Hypergeometric Functions and Their Applications. The full collection is available at https://www.emis.de/journals/SIGMA/EHF2017.html. The author is grateful to the organizers and participants of the lecture series at the university of Sydney (November 28–30, 2016) and the ESI workshop “Elliptic Hypergeometric Functions in Combinatorics, Integrable Systems and Physics” (Vienna, March 20–24, 2017) for their interests and discussions. He also thanks to referees for valuable comments and Dr. H. Nagao for discussions. This work is partially supported by JSPS KAKENHI (26287018).uk_UA
dc.identifier.citationAn Elliptic Garnier System from Interpolation / Y. Yamada // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 15 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 39A13; 33E05; 33E17; 41A05
dc.identifier.otherDOI:10.3842/SIGMA.2017.069
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/148749
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleAn Elliptic Garnier System from Interpolationuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13, випуск за цей рік