A reformulation of the generalized q-Painlev\'e VI system with W(A(1)2n+1) symmetry
Abstract
In the previous work we introduced the higher order q-Painlev\'e system q-P(n+1,n+1) as a generalization of the Jimbo-Sakai's q-Painlev\'e VI equation. It is derived from a q-analogue of the Drinfeld-Sokolov hierarchy of type A(1)2n+1 and admits a particular solution in terms of the Heine's q-hypergeometric function n+1φn. However the obtained system is insufficient as a generalization of q-PVI due to some reasons. In this article we rewrite the system q-P(n+1,n+1) to a more suitable one.
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