Symmetry Groups of An Hypergeometric Series

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...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2014
Main Author: Kajihara, Y.
Format: Article
Language:English
Published: Інститут математики НАН України 2014
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/146815
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Symmetry Groups of An Hypergeometric Series / Y. Kajihara // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 37 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Kajihara, Y.
author_facet Kajihara, Y.
citation_txt Symmetry Groups of An Hypergeometric Series / Y. Kajihara // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 37 назв. — англ.
collection DSpace DC
container_title Symmetry, Integrability and Geometry: Methods and Applications
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.
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1815-0659
language English
last_indexed 2025-12-07T15:16:58Z
publishDate 2014
publisher Інститут математики НАН України
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spelling Kajihara, Y.
2019-02-11T16:17:42Z
2019-02-11T16:17:42Z
2014
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
https://nasplib.isofts.kiev.ua/handle/123456789/146815
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.
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.
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
Symmetry Groups of An Hypergeometric Series
Article
published earlier
spellingShingle Symmetry Groups of An Hypergeometric Series
Kajihara, Y.
title Symmetry Groups of An Hypergeometric Series
title_full Symmetry Groups of An Hypergeometric Series
title_fullStr Symmetry Groups of An Hypergeometric Series
title_full_unstemmed Symmetry Groups of An Hypergeometric Series
title_short Symmetry Groups of An Hypergeometric Series
title_sort symmetry groups of an hypergeometric series
url https://nasplib.isofts.kiev.ua/handle/123456789/146815
work_keys_str_mv AT kajiharay symmetrygroupsofanhypergeometricseries