Roots of formal power series in one variable

DOI10.1007/BF02189812zbMath0578.39006OpenAlexW2052642256MaRDI QIDQ1066369

Jens Schwaiger

Publication date: 1985

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

Full work available at URL: https://eudml.org/doc/137080

zbMATH Keywords

rootssemigroupcompositionformal power series

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Iteration theory, iterative and composite equations (39B12) Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (8)

Der Hauptsatz über Iteration im Ring der formalen Potenzreihen ⋮ On groups of iterative roots of the formal power series \(F(x) = x\) ⋮ Hyers-Ulam stability of functional equations in several variables ⋮ A survey on iterations in rings of formal power series in one indeterminate ⋮ Formal multiplicative root series and algorithms of their evaluation ⋮ On the nonexistence of iterative roots ⋮ Commutants of the multidimensional Jennings group ⋮ Über Iteration ohne Regularitätsbedingungen im Ring der formalen Potenzreihen in einer Variablen

Cites Work

• Linearisierung formal-biholomorpher Abbildungen und Iterationsprobleme
• Power series in one variable
• Some Results on Analytic Iteration and Conjugacy

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