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Desingularization of Ore Operators

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arxiv 1408.5512 v1 pith:ZVYYLCVN submitted 2014-08-23 cs.SC math.AC

Shaoshi Chen , Manuel Kauers , Michael F. Singer This is my paper
classification cs.SCmath.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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