A two-sided Faulhaber-like formula involving Bernoulli polynomials
| Autor: | G., Fernando Barbero, Margalef-Bentabol, Juan, Villaseñor, Eduardo J. S. |
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| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | Comptes Rendus Math\'ematique, 357 (2020) 1 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.5802/crmath.10 |
| Popis: | We give a new identity involving Bernoulli polynomials and combinatorial numbers. This provides, in particular, a Faulhaber-like formula for sums of the form $1^m (n-1)^m + 2^m (n-2)^m + \cdots + (n-1)^m 1^m$ for positive integers $m$ and $n$. Comment: 5 pages |
| Databáze: | arXiv |
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