Symmetry Groups of An Hypergeometric Series

dc.contributor.authorKajihara, Y.
dc.date.accessioned2019-02-11T16:17:42Z
dc.date.available2019-02-11T16:17:42Z
dc.date.issued2014
dc.description.abstractStructures of symmetries of transformations for Holman-Biedenharn-Louck An hypergeometric series: An terminating balanced ₄F₃ series and An elliptic ₁₀E₉ series are discussed. Namely the description of the invariance groups and the classification all of possible transformations for each types of An hypergeometric series are given. Among them, a ''periodic'' affine Coxeter group which seems to be new in the literature arises as an invariance group for a class of An ₄F₃ series.uk_UA
dc.description.sponsorshipThis paper is a contribution to the Special Issue in honor of Anatol Kirillov and Tetsuji Miwa. The full collection is available at http://www.emis.de/journals/SIGMA/InfiniteAnalysis2013.html. I would like to express my sincere thanks to Professors David Bessis, Christian Krattenthaler, Masato Okado and Hiroyuki Yamane and, in particular, Professor Kenji Iohara for crucial comments and fruitful discussions on some Coxeter groups that appear in this paper. I also thank to anonymous referees to pointing out the errors of the previous version of this paper and useful suggestions to improve the descriptions.uk_UA
dc.identifier.citationSymmetry Groups of An Hypergeometric Series / Y. Kajihara // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 37 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 33C67; 20F55; 33C20; 33D67
dc.identifier.otherDOI:10.3842/SIGMA.2014.026
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/146815
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleSymmetry Groups of An Hypergeometric Seriesuk_UA
dc.typeArticleuk_UA

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