Cauchy-type identities through collocation matrices
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909442288648192 |
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| author | Diaz, Pablo Mainar, Esmeralda |
| author_facet | Diaz, Pablo Mainar, Esmeralda |
| contents | We present a broader framework for the Cauchy identity derived from the determinant expansion of collocation matrices. This approach yields an infinite family of identities, where the original Cauchy identity stands as a particular case. To illustrate the versatility and depth of this approach, we provide a range of compelling examples, showcasing the connections and applications of these novel identities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_19889 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Cauchy-type identities through collocation matrices Diaz, Pablo Mainar, Esmeralda Combinatorics We present a broader framework for the Cauchy identity derived from the determinant expansion of collocation matrices. This approach yields an infinite family of identities, where the original Cauchy identity stands as a particular case. To illustrate the versatility and depth of this approach, we provide a range of compelling examples, showcasing the connections and applications of these novel identities. |
| title | Cauchy-type identities through collocation matrices |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2412.19889 |