arXiv Open Access 2024

Creative Telescoping for Hypergeometric Double Sums

Peter Paule Carsten Schneider

Lihat Sumber

Abstrak

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.

Topik & Kata Kunci

cs.SC

Penulis (2)

Peter Paule

Carsten Schneider

Format Sitasi

APA MLA BibTeX

Paule, P., Schneider, C. (2024). Creative Telescoping for Hypergeometric Double Sums. https://arxiv.org/abs/2401.16314

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓