A remark on Schröder's equation: formal and analytic linearization of iterative roots of the power series \(f(z)=z\)

DOI10.1007/s00605-013-0601-3zbMath1301.30028OpenAlexW2077466393MaRDI QIDQ471132

Jörg Tomaschek, Ludwig Reich

Publication date: 14 November 2014

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-013-0601-3

zbMATH Keywords

linearizationnormal formsSchröder 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 complex functions (39B32)

Related Items (2)

Normal forms of functional-differential equations of Beardon type and Briot-Bouquet type equations in the complex domain ⋮ Local solutions of the generalized Dhombres functional equation in a neighbourhood of infinity

Cites Work

• On a functional-differential equation of A. F. Beardon and functional-differential equations of Briot-Bouquet type
• Entire solutions of \(f(kz)=kf(z)f^\prime(z)\)
• Local analytic solutions of the generalized Dhombres functional equation. II
• Über die Häufigkeit der Nichtzentren
• Local Analytic Solutions of the Generalized Dhombres Functional Equation I
• Dynamics in One Complex Variable. (AM-160)
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