Journal of Difference Equations and Applications, vol. 19, no. 12, 2013, pp. 1952--1966.

Dominique Foata, Guo-Niu Han

FINITE DIFFERENCE CALCULUS FOR ALTERNATING PERMUTATIONS

Abstract. The finite difference equation system introduced by Christiane Poupard in the study of tangent trees is reinterpreted in the alternating permutation environment. It makes it possible to make a joint study of both tangent and secant trees and calculate the generating polynomial for alternating permutations by a new statistic, referred to as being the greater neighbor of the maximum.

foata at unistra dot fr, guoniu dot han at unistra dot fr

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