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arXiv · 1502.04597

Isomonodromic deformation of q-difference equations and confluence

Thomas Dreyfus
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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 Painlev\'e equation.

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Thomas Dreyfus. 2015-02-16. Isomonodromic deformation of q-difference equations and confluence. https://doi.org/10.1090/proc/13173

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