Holomorphic, rational Lax pairs of a $q$-discrete Painlevé VI equation

Abstract

We build several matrix Lax pairs of $\mathrm{q}-{\mathrm{P}}_{\mathrm{VI}}$ valid even when the two eigenvalues of the residue of the monodromy matrix at infinity are equal. Their elements are rational functions of the dependent variables.

12 pages, to appear, Funkcialaj ekvacioj