#####
Séminaire Lotharingien de Combinatoire, B24e (1990).

[Formerly: Publ. I.R.M.A. Strasbourg, 1993, 361/S-24, p.
99-111.]

# Jiang Zeng

# The *q*-Stirling Numbers, Continued Fractions and the
*q*-Charlier and *q*-Laguerre Polynomials

**Abstract.**
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
*q*-Stirling numbers.

The paper has been finally published under the same title in
*J. Comput. Appl. Math.* **57** (1995), 413-424.