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arxiv: 1408.5512 · v1 · pith:ZVYYLCVNnew · submitted 2014-08-23 · 💻 cs.SC · math.AC

Desingularization of Ore Operators

classification 💻 cs.SC math.AC
keywords desingularizationoperatorsresultalgorithmapparentappropriatecalculatingclassical
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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.

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