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arXiv · 1310.7273

Symmetry Groups of $A_n$ Hypergeometric Series

Yasushi Kajihara
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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.

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BibTeXRIS

Yasushi Kajihara. 2014-03-19. Symmetry Groups of $A_n$ Hypergeometric Series. https://doi.org/10.3842/sigma.2014.026

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