Symmetry Groups of $A_n$ Hypergeometric Series
Classical Analysis and ODEs
2014-03-20 v2 Combinatorics
Group Theory
Abstract
Structures of symmetries of transformations for Holman-Biedenharn-Louck hypergeometric series: terminating balanced series and elliptic series are discussed. Namely the description of the invariance groups and the classification all of possible transformations for each types of 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 series.
Keywords
Cite
@article{arxiv.1310.7273,
title = {Symmetry Groups of $A_n$ Hypergeometric Series},
author = {Yasushi Kajihara},
journal= {arXiv preprint arXiv:1310.7273},
year = {2014}
}