Removing apparent singularities of linear difference systems

@article{Barkatou2021RemovingAS,
title={Removing apparent singularities of linear difference systems},
author={M. Barkatou and Maximilian Jaroschek},
journal={J. Symb. Comput.},
year={2021},
volume={102},
pages={86-107}
}

Abstract It is well known that for a first order system of linear difference equations with rational function coefficients, a solution that is holomorphic in some left half plane can be analytically continued to a meromorphic solution in the whole complex plane. The poles stem from the singularities of the rational function coefficients of the system. Just as for systems of differential equations, not all of these singularities necessarily lead to poles in a solution, as they might be what is… CONTINUE READING