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Abstract
In this paper, we consider linear q-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 q-analogue of the Borel–Laplace summation.
Acknowledgements
The authors would like the thank the anonymous referee for permitting them to correct a mistake that was originally made in the first version of the paper.
Notes
No potential conflict of interest was reported by the authors.
Additional information
Funding
The first author is funded by the labex CIMI. This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme under the [grant agreement number 648132]. The final version of this paper will be published in Journal of Difference Equations and Applications.