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