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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 following version is available:

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.