Formal functional equations and generalized Lie–Gröbner series

DOI10.1080/10236198.2017.1328507zbMath1390.39068OpenAlexW2619693807MaRDI QIDQ5374284

Harald Fripertinger, Ludwig Reich

Publication date: 10 April 2018

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2017.1328507

zbMATH Keywords

translation equationformal functional equationsiteration groups of type IIring of formal power series over \(\mathbb C\)(generalized) Lie-Gröbner seriesfirst and second cocycle equation

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Iteration theory, iterative and composite equations (39B12) Functional equations for functions with more general domains and/or ranges (39B52) Formal power series rings (13F25)

Cites Work

• Two iterative functional equations for power series
• The formal translation equation for iteration groups of type II
• On the general solution of the system of cocycle equations without regularity conditions
• 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 formal second cocycle equation for iteration groups of type II
• On the formal first cocycle equation for iteration groups of type II
• On Covariant Embeddings of a Linear Functional Equation with Respect to an Analytic Iteration Group
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