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2000 Mathematics Subject Classification: 17A50, 05C05.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).
Gerritzen, L.. "Automorphisms of the Planar Tree Power Series Algebra and the Non-Associative Logarithm." Serdica Mathematical Journal 30.2-3 (2004): 135-158. <http://eudml.org/doc/219531>.
@article{Gerritzen2004, abstract = {2000 Mathematics Subject Classification: 17A50, 05C05.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).}, author = {Gerritzen, L.}, journal = {Serdica Mathematical Journal}, keywords = {Planar Rooted Tree; Planar Formal Power Series; Non-Associative Exponential Series; Substitution Endomorphisms; Automorphisms for Planar Power Series; Hopf Algebra; planar rooted trees; forests; non-associative algebras; Hopf algebras of trees; power series algebra}, language = {eng}, number = {2-3}, pages = {135-158}, publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences}, title = {Automorphisms of the Planar Tree Power Series Algebra and the Non-Associative Logarithm}, url = {http://eudml.org/doc/219531}, volume = {30}, year = {2004}, }
TY - JOUR AU - Gerritzen, L. TI - Automorphisms of the Planar Tree Power Series Algebra and the Non-Associative Logarithm JO - Serdica Mathematical Journal PY - 2004 PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences VL - 30 IS - 2-3 SP - 135 EP - 158 AB - 2000 Mathematics Subject Classification: 17A50, 05C05.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). LA - eng KW - Planar Rooted Tree; Planar Formal Power Series; Non-Associative Exponential Series; Substitution Endomorphisms; Automorphisms for Planar Power Series; Hopf Algebra; planar rooted trees; forests; non-associative algebras; Hopf algebras of trees; power series algebra UR - http://eudml.org/doc/219531 ER -