Computing with Hypergeometric-Type Terms
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909348791320576 |
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| author | Tabuguia, Bertrand Teguia |
| author_facet | Tabuguia, Bertrand Teguia |
| contents | Take a multiplicative monoid of sequences in which the multiplication is given by Hadamard product. The set of linear combinations of interleaving monoid elements then yields a ring. For hypergeometric sequences, the resulting ring is a subring of the ring of holonomic sequences. We present two algorithms in this setting: one for computing holonomic recurrence equations from hypergeometric-type normal forms and the other for finding products of hypergeometric-type terms. These are newly implemented commands in our Maple package $HyperTypeSeq$, available at \url{https://github.com/T3gu1a/HyperTypeSeq}, which we also describe. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_10143 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Computing with Hypergeometric-Type Terms Tabuguia, Bertrand Teguia Symbolic Computation Discrete Mathematics Mathematical Software 33F10, 39A06 (Primary), 68R01, 05A19 (Secondary) I.1.1; I.1.2; G.2.1; G.4 Take a multiplicative monoid of sequences in which the multiplication is given by Hadamard product. The set of linear combinations of interleaving monoid elements then yields a ring. For hypergeometric sequences, the resulting ring is a subring of the ring of holonomic sequences. We present two algorithms in this setting: one for computing holonomic recurrence equations from hypergeometric-type normal forms and the other for finding products of hypergeometric-type terms. These are newly implemented commands in our Maple package $HyperTypeSeq$, available at \url{https://github.com/T3gu1a/HyperTypeSeq}, which we also describe. |
| title | Computing with Hypergeometric-Type Terms |
| topic | Symbolic Computation Discrete Mathematics Mathematical Software 33F10, 39A06 (Primary), 68R01, 05A19 (Secondary) I.1.1; I.1.2; G.2.1; G.4 |
| url | https://arxiv.org/abs/2404.10143 |