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