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arXiv · 2401.16314

Creative Telescoping for Hypergeometric Double Sums

Peter Paule·Carsten Schneider
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Abstract

We present efficient methods for calculating linear recurrences of hypergeometric double sums and, more generally, of multiple sums. In particular, we supplement this approach with the algorithmic theory of contiguous relations, which guarantees the applicability of our method for many input sums. In addition, we elaborate new techniques to optimize the underlying key task of our method to compute rational solutions of parameterized linear recurrences.

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Peter Paule, Carsten Schneider. 2024-01-29. Creative Telescoping for Hypergeometric Double Sums. https://arxiv.org/abs/2401.16314

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