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arXiv · 2311.05246

Reduction-based Creative Telescoping for P-recursive Sequences via Integral Bases

Shaoshi Chen·Lixin Du·Manuel Kauers·Rong-Hua Wang
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Abstract

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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Shaoshi Chen, Lixin Du, Manuel Kauers, Rong-Hua Wang. 2023-11-09. Reduction-based Creative Telescoping for P-recursive Sequences via Integral Bases. https://arxiv.org/abs/2311.05246

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