$q$-Borel-Laplace summation for $q$-difference equations with two slopes
Complex Variables
2019-02-22 v3
Abstract
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 compute similar meromorphic gauge transformations than those appearing in the work of Bugeaud, using a -analogue of the Borel-Laplace summation.
Cite
@article{arxiv.1501.02994,
title = {$q$-Borel-Laplace summation for $q$-difference equations with two slopes},
author = {Thomas Dreyfus and Anton Eloy},
journal= {arXiv preprint arXiv:1501.02994},
year = {2019}
}
Comments
The final version of this paper will be published in Journal of Difference Equations and Applications