Geodesic
Automorphisms of the Planar Tree Power Series Algebra and the Non-Associative Logarithm
Serdica Mathematical Journal, Tome 30 (2004) no. 2-3, pp. 135-158
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In this note we present the formula for the coefficients of the substitution series f(g(x)) of planar tree power series g(x) into f(x).
Keywords: Planar Rooted Tree, Planar Formal Power Series, Non-Associative Exponential Series, Substitution Endomorphisms, Automorphisms for Planar Power Series, Hopf Algebra 
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     author = {Gerritzen, L.},
     title = {Automorphisms of the {Planar} {Tree} {Power} {Series} {Algebra} and the {Non-Associative} {Logarithm}},
     journal = {Serdica Mathematical Journal},
     pages = {135--158},
     year = {2004},
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     number = {2-3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SMJ2_2004_30_2-3_a2/}
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Gerritzen, L. Automorphisms of the Planar Tree Power Series Algebra and the Non-Associative Logarithm. Serdica Mathematical Journal, Tome 30 (2004) no. 2-3, pp. 135-158. http://geodesic.mathdoc.fr/item/SMJ2_2004_30_2-3_a2/