Desingularization of Ore Operators
Symbolic Computation
2014-08-26 v1 Commutative Algebra
Abstract
We show that Ore operators can be desingularized by calculating a least common left multiple with a random operator of appropriate order. Our result generalizes a classical result about apparent singularities of linear differential equations, and it gives rise to a surprisingly simple desingularization algorithm.
Cite
@article{arxiv.1408.5512,
title = {Desingularization of Ore Operators},
author = {Shaoshi Chen and Manuel Kauers and Michael F. Singer},
journal= {arXiv preprint arXiv:1408.5512},
year = {2014}
}