Connection problem in holonomic<i>q</i>-difference system associated with a Jackson integral of Jordan-Pochhammer type

Abstract

Fix a complex number q with |q| &lt; 1. Let T 1 …, T n be n-commuting q -difference operators defined by for a function f(x), x = (x 1 ,…, x n ) ε (C * ) n . Consider a system of linear q -difference equations in several variables for a matrix valued function on (C*) n as follows: