A New Approach for Computing Regular Solutions of Linear Difference Systems
Résumé
In this paper, we provide a new approach for computing regular solutions of first-order linear difference systems. We use the setting of factorial series known to be very well suited for dealing with difference equations and we introduce a sequence of functions which play the same role as the powers of the logarithm in the differential case. This allows us to adapt the approach of [5] where we have developed an algorithm for computing regular solutions of linear differential systems.