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Symmetry Groups of An Hypergeometric Series
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- Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10
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Symmetry Groups of An Hypergeometric Series
Інший ID:
2010 Mathematics Subject Classification: 33C67; 20F55; 33C20; 33D67
DOI:10.3842/SIGMA.2014.026
DOI:10.3842/SIGMA.2014.026
Посилання:
Symmetry Groups of An Hypergeometric Series / Y. Kajihara // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 37 назв. — англ.
Підтримка:
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.
Дата:
2014
Переглядів:
540
Завантажень:
236
Анотація:
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.
