An affine Weyl group action on the basic hypergeometric series arising from the q-Garnier system
Abstract
Recently, we formulated the q-Garnier system and its variations as translations of an extended affine Weyl group of type A(1)2n+1× A(1)1× A(1)1. On the other hand, those systems admit particular solutions in terms of the basic hypergeometric series n+1φn. In this article, we investigate an action of the extended affine Weyl group on n+1φn.
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