Creative Telescoping for Hypergeometric Double Sums
Symbolic Computation
2024-01-30 v1
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.
Cite
@article{arxiv.2401.16314,
title = {Creative Telescoping for Hypergeometric Double Sums},
author = {Peter Paule and Carsten Schneider},
journal= {arXiv preprint arXiv:2401.16314},
year = {2024}
}