Difference system for Selberg correlation integrals

Peter J. Forrester, Masahiko Ito

The Selberg correlation integrals are averages of the products ${\prod }_{s=1}^m{\prod }_{l=1}^n(x_s-z_l{)}^{{\mu }_s}$ with respect to the Selberg density. Our interest is in the case $m=1$…