##### 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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