La constitution du concept de composé partitionnel chez D. Foata : éléments d’une épistémologie de la combinatoire

Mathématiques et sciences humaines. Mathematics and social sciences

Serfati, Michel¹ 

关键词: composé partitionnel;    Hermite polynomials;    Foata;    Mehler;    involutionary graph;   

DOI  :  10.4000/msh.7193

学科分类：数学（综合）

来源: College de France * Ecole des Hautes Etudes en Sciences Sociales (E H E S S)

【 摘 要 】

This epistemological paper is devoted a concept defined by Dominique Foata of a concept (the composé partitionnel Y+ of a sequence Y = Yn of finite sets) and of some associated mathematical themes of thought. Both are progressively introduced, starting from well known analytical identities, associated for instance to the generating function of Hermite polynomials.

【 授权许可】

Unknown