Séminaire Lotharingien de Combinatoire, B08c (1984), 9
pp.
[Formerly: Publ. I.R.M.A. Strasbourg, 1984, 229/S-08, p.
17-25.]
Dominique and Doron Zeilberger
Weighted Derangements and Laguerre Polynomials
Abstract.
The integral of a product of finitely many generalized
Laguerre polynomials with respect to their weight function
is expressed as the generating polynomial for so-called
(a,b,...,d)-derangements by their numbers of cycles. The positivity
of the integral is a consequence of this combinatorial
interpretation.
foata@math.u-strasbg.fr,
zeilberg@euclid.math.temple.edu
The present paper has been completed
and updated to become:
Dominique Foata and Doron Zeilberger,
Laguerre polynomials, weighted derangements
and positivity, SIAM J. Discrete Math., vol. 1, 1988,
p. 425--433.
The following versions are available: