Séminaire Lotharingien de Combinatoire, B17b (1987).
[Formerly: Publ. I.R.M.A. Strasbourg, 1987, 348/S-17, p. 69-95.]

Jiang Zeng

Linéarisation de Produits de Polynômes de Meixner, Krawtchouk et Charlier

Abstract. Let (pn(x) (n>=0) be a sequence of orthogonal polynomials with respect to a functional L. We propose a calculuation of the functional L(\prod_{i=1}^{m} pni(x)) for the Meixner, Krawtchouk and Charlier polynomials, with the help of combinatorial techniques. This combinatorial approach permits to refine several classical analytical results.

The paper has been finally published under the same title in SIAM J. Math. Anal. 21 (1990), 1349-1368.