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Symmetry Groups of An Hypergeometric Series

Vernadsky National Library of Ukraine

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Title Symmetry Groups of An Hypergeometric Series
 
Creator Kajihara, Y.
 
Description 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.
 
Date 2019-02-11T16:17:42Z
2019-02-11T16:17:42Z
2014
 
Type Article
 
Identifier Symmetry Groups of An Hypergeometric Series / Y. Kajihara // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 37 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 33C67; 20F55; 33C20; 33D67
DOI:10.3842/SIGMA.2014.026
http://dspace.nbuv.gov.ua/handle/123456789/146815
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України