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- W1638860578 abstract "We generalize the Stirling numbers of the first kind $s(a,k)$ to the case where $a$ may be an arbitrary real number. In particular, we study the case in which $a$ is an integer. There, we discover new combinatorial properties held by the classical Stirling numbers, and analogous properties held by the Stirling numbers $s(n,k)$ with $n$ a negative integer. On generalise ici les nombres de Stirling du premier ordre $s(a,k)$ au cas ou $a$ est un reel quelconque. On s'interesse en particulier au cas ou $a$ est entier. Ceci permet de mettre en evidence de nouvelles proprietes combinatoires aux quelles obeissent les nombres de Stirling usuels et des proprietes analougues auquelles obeissent les nombres de Stirling $s(n,k)$ ou $n$ est un entier negatif." @default.
- W1638860578 created "2016-06-24" @default.
- W1638860578 creator A5012310517 @default.
- W1638860578 date "1995-02-09" @default.
- W1638860578 modified "2023-09-27" @default.
- W1638860578 title "A generalization of Stirling numbers" @default.
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