Inversion of some series of free quasi-symmetric functions
Résumé
We give a combinatorial formula for the inverses of the alternating sums of free quasi-symmetric functions of the form $\F_{\omega(I)}$ where $I$ runs over compositions with parts in a prescribed set $C$. This proves in particular three special cases (no restriction, even parts, and all parts equal to 2) which were conjectured by B. C. V. Ung in [Proc. FPSAC'98, Toronto].
Domaines
Combinatoire [math.CO]Origine | Fichiers produits par l'(les) auteur(s) |
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