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.