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.