Geodesic
Weighted Derangements and Laguerre Polynomials
Séminaire lotharingien de combinatoire, Tome 08 (1983) 
Dominique Foata; Doron Zeilberger. Weighted Derangements and Laguerre Polynomials. Séminaire lotharingien de combinatoire, Tome 08 (1983). http://geodesic.mathdoc.fr/item/SLC_1983_08_a2/
@article{SLC_1983_08_a2,
     author = {Dominique Foata and Doron Zeilberger},
     title = {Weighted {Derangements} and {Laguerre} {Polynomials}},
     journal = {S\'eminaire lotharingien de combinatoire},
     year = {1983},
     volume = {08},
     url = {http://geodesic.mathdoc.fr/item/SLC_1983_08_a2/}
}
TY  - JOUR
AU  - Dominique Foata
AU  - Doron Zeilberger
TI  - Weighted Derangements and Laguerre Polynomials
JO  - Séminaire lotharingien de combinatoire
PY  - 1983
VL  - 08
UR  - http://geodesic.mathdoc.fr/item/SLC_1983_08_a2/
ID  - SLC_1983_08_a2
ER  - 
%0 Journal Article
%A Dominique Foata
%A Doron Zeilberger
%T Weighted Derangements and Laguerre Polynomials
%J Séminaire lotharingien de combinatoire
%D 1983
%V 08
%U http://geodesic.mathdoc.fr/item/SLC_1983_08_a2/
%F SLC_1983_08_a2

Voir la notice de l'acte provenant de la source Séminaire Lotharingien de Combinatoire website

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.

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.