On generating series of complementary planar trees

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We generalize and reprove an identity of Parker and Loday. It states that certain pairs of generating series associated to pairs of labelled rooted planar trees are mutually inverse under composition.
27 pages, 2 figures, contains a discussion of Loday's example (i) (math.CO/0403316, v1). Preprint 649 of the Institut Fourier

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Combinatorics, 05A15, 05C05, 06A10

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http://salesiana.dossiersoluciones.com/handle/123456789/72357

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0409050
 http://arxiv.org/abs/math/0409050

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arXiv