Creative Telescoping for Hypergeometric Double Sums
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917577443246080 |
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| author | Paule, Peter Schneider, Carsten |
| author_facet | Paule, Peter Schneider, Carsten |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_16314 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Creative Telescoping for Hypergeometric Double Sums Paule, Peter Schneider, Carsten Symbolic Computation 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. |
| title | Creative Telescoping for Hypergeometric Double Sums |
| topic | Symbolic Computation |
| url | https://arxiv.org/abs/2401.16314 |