The formal translation equation for iteration groups of type II

DOI10.1007/s00010-010-0003-8zbMath1223.39013OpenAlexW2044815844MaRDI QIDQ623383

Ludwig Reich, Harald Fripertinger

Publication date: 14 February 2011

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-010-0003-8

zbMATH Keywords

ring of formal power seriestranslation equationAczél-Jabotinsky type equationsformal functional equationsiteration groups of type IILie-Gröbner series

Mathematics Subject Classification ID

Iteration theory, iterative and composite equations (39B12) Functional equations for complex functions (39B32) Formal power series rings (13F25)

Related Items (8)

On the formal first cocycle equation for iteration groups of type II ⋮ The projective translation equation and rational plane flows. I ⋮ On the formal second cocycle equation for iteration groups of type II ⋮ A survey on iterations in rings of formal power series in one indeterminate ⋮ The Translation Equation in the Ring of Formal Power Series Over ℂ and Formal Functional Equations ⋮ Formal functional equations and generalized Lie–Gröbner series ⋮ Families of commuting formal power series and formal functional equations ⋮ The projective translation equation and unramified 2-dimensional flows with rational vector fields

Cites Work

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• Two iterative functional equations for power series
• Über die multiplikative Translationsgleichung und idempotente Potenzreihenvektoren
• The formal translation equation and formal cocycle equations for iteration groups of type I
• Power series in one variable
• On the solution of the translation equation in rings of formal power series

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