{ "id": "math/9502218", "version": "v1", "published": "1995-02-09T00:00:00.000Z", "updated": "1995-02-09T00:00:00.000Z", "title": "A generalization of the binomial coefficients", "authors": [ "Daniel E. Loeb" ], "categories": [ "math.CO" ], "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 \\`a d\\'eterminer est la meilleure g\\'en\\'eralisation possible des factorielles et des coefficients du bin\\^oome. On s'interesse \\`a plusieurs exemples, \\`a leurs propri\\'et\\'es combinatoires, et aux differentes relations qu'ils mettent en jeu.", "revisions": [ { "version": "v1", "updated": "1995-02-09T00:00:00.000Z" } ], "analyses": { "subjects": [ "05A10", "05A40" ], "keywords": [ "binomial coefficient", "aux differentes relations quils mettent", "leurs proprietes combinatoires", "best generalization", "plusieurs exemples" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1995math......2218L" } } }