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math.CO2013
Derivatives of the tree function
Matthieu Josuat-Vergès
We study some sequences of polynomials that appear when we consider the successive derivatives of the tree function (or Lambert's W function). We show in particular that they are r…
math.CO2013
A generalization of Euler numbers to finite Coxeter groups
Matthieu Josuat-Vergès
It is known that Euler numbers, defined as the Taylor coefficients of the tangent and secant functions, count alternating permutations in the symmetric group. Springer defined a ge…