Matrix products of binomial coefficients and unsigned Stirling numbers
| Autor: | Knežević, Marin, Krčadinac, Vedran, Relić, Lucija |
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| Rok vydání: | 2020 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.5592/CO/CCD.2020.04 |
| Popis: | We study sums of the form $\sum_{k=m}^n a_{nk} b_{km}$, where $a_{nk}$ and $b_{km}$ are binomial coefficients or unsigned Stirling numbers. In a few cases they can be written in closed form. Failing that, the sums still share many common features: combinatorial interpretations, Pascal-like recurrences, inverse relations with their signed versions, and interpretations as coefficients of change between polynomial bases. Comment: 10 pages |
| Databáze: | arXiv |
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