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

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.