Symmetry Groups of An Hypergeometric Series

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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10
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dc.contributor.author	Kajihara, Y.
dc.date.accessioned	2019-02-11T16:17:42Z
dc.date.available	2019-02-11T16:17:42Z
dc.date.issued	2014
dc.identifier.citation	Symmetry 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.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 33C67; 20F55; 33C20; 33D67
dc.identifier.other	DOI:10.3842/SIGMA.2014.026
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/146815
dc.description.abstract	Structures 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.sponsorship	This 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.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Symmetry Groups of An Hypergeometric Series	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA