Shaoshi Chen , Lixin Du , Manuel Kauers , Rong-Hua Wang
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Reduction-based creative telescoping for P-recursive sequences via integral bases
We propose a way to split a given bivariate P-recursive sequence into a summable part and a non-summable part in such a way that the non-summable part is minimal in some sense. This decomposition gives rise to a new reduction-based creative telescoping algorithm based on the concept of integral bases.
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