A generalization of the binomial coefficients

preprint1995arXivOpen access

Abstract

We pose the question of what is the best generalization of the factorial and the binomial coefficient. We give several examples, derive their combinatorial properties, and demonstrate their interrelationships. On cherche ici à déterminer est la meilleure généralisation possible des factorielles et des coefficients du binôome. On s'interesse à plusieurs exemples, à leurs propriétés combinatoires, et aux differentes relations qu'ils mettent en jeu.

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