42 citations · 260 across the 31 of their papers we have counts for
6 papers · 1 filter
On the product of two generic -Gevrey series
Thomas Dreyfus, Changgui Zhang
In this paper, we consider a -analog of the Borel-Laplace summation process introduced by Fabienne Marotte and the second author. We specifically examine two power series soluti…
Isomonodromic deformation of q-difference equations and confluence
Thomas Dreyfus
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…
-Borel-Laplace summation for -difference equations with two slopes
Thomas Dreyfus, Anton Eloy
In this paper, we consider linear -difference systems with coefficients that are germs of meromorphic functions, with Newton polygon that has two slopes. Then, we explain how to…
q-Deformation of Meromorphic Solutions of Linear Differential Equations
Thomas Dreyfus
In this paper, we consider the behaviour, when goes to , of the set of a convenient basis of meromorphic solutions of a family of linear -difference equations. In particu…
Galois Groups of Difference Equations of Order Two on Elliptic Curves
Thomas Dreyfus, Julien Roques
This paper is concerned with difference equations on elliptic curves. We establish some general properties of the difference Galois groups of equations of order two, and give appli…
Building meromorphic solutions of -difference equations using a Borel-Laplace summation
Thomas Dreyfus
After introducing q-analogues of the Borel and Laplace transformations, we prove that to every formal power series solution of a linear q-difference equation with rational coeffici…