Institut Henri Poincaré, Paris, 2-3 avril 2003. Published in Math. Sci. Hum. Math. Soc. Sci., 179, 2007, p. 85-99.

Dominique Foata

Une méthode combinatoire pour l'étude des fonctions spéciales

Abstract.This is an expository paper discussing the combinatorial methods that were introduced in the 70-80's for proving a large class of identities involving special functions, especially orthogonal polynomials. The Mehler identity for the Hermite polynomials, together with its multilinear extension are proved by means of the composé partitionnel technique.

Lire le commentaire épistémologique de cet article fait par Michel Serfati (attention fichier en format pdf)

serfati@math.jussieu.fr


foata@math.u-strasbg.fr

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