The q-tangent and q-secant numbers via basic Eulerian polynomials
Résumé
The classical identity that relates Eulerian polynomials to tangent numbers together with the parallel result dealing with secant numbers is given a $q$-extension, both analytically and combinatorially. The analytic proof is based on a recent result by Shareshian and Wachs and the combinatorial one on the geometry of alternating permutations.
Domaines
Combinatoire [math.CO]
Origine : Fichiers produits par l'(les) auteur(s)
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