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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2508.00092 |
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| _version_ | 1866913969358241792 |
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| author | Swerdlow, Andreas |
| author_facet | Swerdlow, Andreas |
| contents | We extend the multivariate Faà di Bruno formula to the super case, where anticommuting odd coordinates are considered. The formula takes the same form as the classical case but contains some nontrivial signs, which essentially measure the failure to order the odd factors and derivatives optimally. As a quick application, we obtain an explicit combinatorial formula for the generalized super Bell polynomials, defined by Fan and Hon. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_00092 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Supergeometric Faà di Bruno Formula Swerdlow, Andreas Mathematical Physics Combinatorics We extend the multivariate Faà di Bruno formula to the super case, where anticommuting odd coordinates are considered. The formula takes the same form as the classical case but contains some nontrivial signs, which essentially measure the failure to order the odd factors and derivatives optimally. As a quick application, we obtain an explicit combinatorial formula for the generalized super Bell polynomials, defined by Fan and Hon. |
| title | A Supergeometric Faà di Bruno Formula |
| topic | Mathematical Physics Combinatorics |
| url | https://arxiv.org/abs/2508.00092 |