A divided difference identity for a class of multiple integrals
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Accesso online: | |
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| _version_ | 1866918398060920832 |
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| author | Floater, Michael S. |
| author_facet | Floater, Michael S. |
| contents | We derive an identity that relates a class of multiple integrals involving Vandermonde polynomials to divided differences. Alternatively the identity can be viewed as an integral formula for divided differences. As part of the derivation we show that both sums of pure partial derivatives and mixed partial derivatives of Vandermonde polynomials are zero, which might be of independent interest. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_18867 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A divided difference identity for a class of multiple integrals Floater, Michael S. Numerical Analysis 15A15, 65D05, 65F40 We derive an identity that relates a class of multiple integrals involving Vandermonde polynomials to divided differences. Alternatively the identity can be viewed as an integral formula for divided differences. As part of the derivation we show that both sums of pure partial derivatives and mixed partial derivatives of Vandermonde polynomials are zero, which might be of independent interest. |
| title | A divided difference identity for a class of multiple integrals |
| topic | Numerical Analysis 15A15, 65D05, 65F40 |
| url | https://arxiv.org/abs/2603.18867 |