Two Involutions for Signed Excedance Numbers
Séminaire lotharingien de combinatoire, Tome 49 (2002-2004)
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Two involutions on permutations and derangements are constructed. They lead to a direct evaluation of some signed Eulerian polynomials on permutations and derangements. The latter formulas, combined with the exponential formula, give a new derivation of the corresponding generating functions.
@article{SLC_2002-2004_49_a4,
author = {G\'erald Ksavrelof and Jiang Zeng},
title = {Two {Involutions} for {Signed} {Excedance} {Numbers}},
journal = {S\'eminaire lotharingien de combinatoire},
year = {2002-2004},
volume = {49},
url = {http://geodesic.mathdoc.fr/item/SLC_2002-2004_49_a4/}
}
Gérald Ksavrelof; Jiang Zeng. Two Involutions for Signed Excedance Numbers. Séminaire lotharingien de combinatoire, Tome 49 (2002-2004). http://geodesic.mathdoc.fr/item/SLC_2002-2004_49_a4/