Séminaire Lotharingien de Combinatoire, B28h (1992).
[Formerly: Publ. I.R.M.A. Strasbourg, 1992, 498/S-28, p. 123-128.]

Dennis Stanton

Specializations of Generalized Laguerre Polynomials

Abstract. Three specializations of a set of orthogonal polynomials with "8 different q's" are given. The polynomials are identified as q-analogues of Laguerre polynomials, and the combinatorial interpreation of the moments give infinitely many new Mahonian statistics on permutations.

The paper has been finally published as a joint paper with Rodica Simion under the same title in SIAM J. Math. Anal. 25 (1994), 712-719.