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This article is cited in 4 scientific papers (total in 4 papers)
Symmetry Groups of $A_n$ Hypergeometric Series
Yasushi Kajihara Department of Mathematics, Kobe University, Rokko-dai, Kobe 657-8501, Japan
Abstract:
Structures of symmetries of transformations for Holman–Biedenharn–Louck $A_n$ hypergeometric series: $A_n$ terminating balanced ${}_4 F_3$ series and $A_n$ elliptic ${}_{10} E_9$ series are discussed. Namely the description of the invariance groups and the classification all of possible transformations for each types of $A_n$ 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 $A_n$ ${}_4 F_3$ series.
Keywords:
multivariate hypergeometric series; elliptic hypergeometric series; Coxeter groups.
Received: September 30, 2013; in final form March 4, 2014; Published online March 18, 2014
Citation:
Yasushi Kajihara, “Symmetry Groups of $A_n$ Hypergeometric Series”, SIGMA, 10 (2014), 026, 29 pp.
Linking options:
https://www.mathnet.ru/eng/sigma891 https://www.mathnet.ru/eng/sigma/v10/p26
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Abstract page: | 231 | Full-text PDF : | 50 | References: | 72 |
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