Séminaire Lotharingien de Combinatoire, B49e (2003), 8 pp.

Gérald Ksavrelof and Jiang Zeng

Two Involutions for Signed Excedance Numbers

Abstract. 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.

Received: May 2, 2003. Revised: November 11, 2003. Accepted: December 15, 2003.

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