Isomonodromic deformation of q-difference equations and confluence
Complex Variables
2019-02-22 v2
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 . 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 Painlev\'e equation.
Cite
@article{arxiv.1502.04597,
title = {Isomonodromic deformation of q-difference equations and confluence},
author = {Thomas Dreyfus},
journal= {arXiv preprint arXiv:1502.04597},
year = {2019}
}