Isomonodromic deformation of q-difference equations and confluence

Abstract

We study isomonodromic deformation of Fuchsian linear q-difference systems. Furthermore, we are looking of the behaviour of the Birkhoff connexion matrix when q goes to $1$. We use our results to study the convergence of the Birkhoff connexion matrix that appears in the definition of the q-analogue of the sixth Painlevé equation.

References in corpus (1)

• Building meromorphic solutions of $q$-difference equations using a Borel-Laplace summation

Cited by in corpus (1)

• Degeneration from difference to differential Okamoto spaces for the sixth Painlevé equation