Geodesic
On Generating Series of Coloured Planar Trees
Séminaire lotharingien de combinatoire, Tome 55 (2005-2007)

Voir la notice de l'acte provenant de la source Séminaire Lotharingien de Combinatoire website

We generalize and reprove an identity of Parker and Loday. It states that certain pairs of generating series associated to coloured plane rooted trees are mutually reciprocal series. 

@article{SLC_2005-2007_55_a4,
     author = {Roland Bacher and Gilles Schaeffer},
     title = {On {Generating} {Series} of {Coloured} {Planar} {Trees}},
     journal = {S\'eminaire lotharingien de combinatoire},
     publisher = {mathdoc},
     volume = {55},
     year = {2005-2007},
     url = {http://geodesic.mathdoc.fr/item/SLC_2005-2007_55_a4/}
}
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Roland Bacher; Gilles Schaeffer. On Generating Series of Coloured Planar Trees. Séminaire lotharingien de combinatoire, Tome 55 (2005-2007). http://geodesic.mathdoc.fr/item/SLC_2005-2007_55_a4/