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arXiv · 1408.5514

Bounds for D-finite closure properties

Manuel Kauers
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Abstract

We provide bounds on the size of operators obtained by algorithms for executing D-finite closure properties. For operators of small order, we give bounds on the degree and on the height (bit-size). For higher order operators, we give degree bounds that are parameterized with respect to the order and reflect the phenomenon that higher order operators may have lower degrees (order-degree curves).

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Manuel Kauers. 2014-08-23. Bounds for D-finite closure properties. https://arxiv.org/abs/1408.5514

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