Yet another note on notation
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866916567380393984 |
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| author | Rus, Mircea Dan |
| author_facet | Rus, Mircea Dan |
| contents | Back in 1755, Euler explored an interesting array of numbers that now frequently appears in polynomial identities, combinatorial problems, and finite calculus, among other places. These numbers share a strong connection with well-known number families, such as those of Stirling, Bernoulli, and Fubini. Despite their importance, they often go unnoticed because of the lack of a specific name and standard notation. This paper aims to address this oversight by proposing an appropriate name and notation, aligned with established mathematical conventions, and supported by (we hope) strong enough arguments to facilitate their acceptance from the mathematical community. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_08762 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Yet another note on notation Rus, Mircea Dan History and Overview Combinatorics 05-01 (Primary) 05A10, 00A35 (Secondary) Back in 1755, Euler explored an interesting array of numbers that now frequently appears in polynomial identities, combinatorial problems, and finite calculus, among other places. These numbers share a strong connection with well-known number families, such as those of Stirling, Bernoulli, and Fubini. Despite their importance, they often go unnoticed because of the lack of a specific name and standard notation. This paper aims to address this oversight by proposing an appropriate name and notation, aligned with established mathematical conventions, and supported by (we hope) strong enough arguments to facilitate their acceptance from the mathematical community. |
| title | Yet another note on notation |
| topic | History and Overview Combinatorics 05-01 (Primary) 05A10, 00A35 (Secondary) |
| url | https://arxiv.org/abs/2501.08762 |