Abstract
We introduce the notion of a resolving sequence of (scalar) operators for a given differential or difference system with coefficients in some differential or difference field K. We propose an algorithm to construct, such a sequence, and give some examples of the use of this sequence as a suitable auxiliary tool for finding certain kinds of solutions of differential and difference systems of arbitrary order. Some experiments with our implementation of the algorithm are reported.
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Abramov, S.A., Petkovšek, M. & Ryabenko, A.A. Resolving sequences of operators for linear ordinary differential and difference systems of arbitrary order. Comput. Math. and Math. Phys. 56, 894–910 (2016). https://doi.org/10.1134/S096554251605002X
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DOI: https://doi.org/10.1134/S096554251605002X