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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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2014 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2014
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/146815 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Symmetry Groups of An Hypergeometric Series / Y. Kajihara // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 37 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862665346345861120 |
|---|---|
| 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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| first_indexed | 2025-12-07T15:16:58Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146815 |
| 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 |
| record_format | dspace |
| 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 |