Formal solutions of the generalized Dhombres functional equation with value one at zero

DOI10.1007/S00010-011-0104-ZzbMath1243.30059OpenAlexW1973061203MaRDI QIDQ662370

Ludwig Reich, Jörg Tomaschek

Publication date: 22 February 2012

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

Full work available at URL: https://doi.org/10.1007/s00010-011-0104-z

zbMATH Keywords

solutiongeneralized Dhombres functional equationDhombres functional equation

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Power series (including lacunary series) in one complex variable (30B10) Iteration theory, iterative and composite equations (39B12) Functional equations for complex functions (39B32)

Related Items (1)

Generalized dhombres equations in the complex domain a survey

Cites Work

• On generalized Dhombres equations with nonconstant polynomial solutions in the complex plane
• Analytic solutions of general nonlinear functional equations near resonance
• Local analytic solutions of the generalized Dhombres functional equation. II
• Small divisor problem for an analytic \(q\)-difference equation
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