Séminaire Lotharingien de Combinatoire, B24e (1990).
[Formerly: Publ. I.R.M.A. Strasbourg, 1993, 361/S-24, p.
The q-Stirling Numbers, Continued Fractions and the
q-Charlier and q-Laguerre Polynomials
We give a simple proof of the continued fraction expansions of the ordinary
generating functions of the q-Stirling numbers of both kinds.
By generalizing the method of Touchard and milne we obtain the explicit
formulas and measure of one set of the polynomials whose moments are the
The paper has been finally published under the same title in
J. Comput. Appl. Math. 57 (1995), 413-424.