Abstract

Selberg type Jackson integrals satisfy q-difference equations of Birkhoff type (generally called q Knizhnik Zamolodchikov equations). In one variable case, these equation are explicitly derived in matrix form of Gauss decomposition, by limit procedure q→0 from the connection matrices, by solving Riemann-Hilbert problem. The latter are evaluated from the asymptotic behaviours of Jackson integrals and the connection formulas given in our previous paper.

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