Journal of Difference Equations and Applications, vol. 19, no. 12, 2013,
Dominique Foata, Guo-Niu Han
FINITE DIFFERENCE CALCULUS FOR ALTERNATING PERMUTATIONS
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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