Local Analytic Solutions of the Generalized Dhombres Functional Equation I

DOI10.1553/SundA2005sSII3zbMath1117.39015MaRDI QIDQ3412152

Ludwig Reich, Jaroslav Smítal

Publication date: 5 December 2006

Published in: Sitzungsberichte und Anzeiger der mathematisch-naturwissenschaftlichen Klasse (Search for Journal in Brave)

zbMATH Keywords

infinite product representationiteration groupsBriot-Bouquet differential equationsBöttcher functional equationlocal analytic solution

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Iteration theory, iterative and composite equations (39B12) Functional equations for complex functions (39B32)

Related Items (5)

The holomorphic solutions of the generalized Dhombres functional equation ⋮ The life and mathematics of Jaroslav Smítal ⋮ Some remarks to the formal and local theory of the generalized Dhombres functional equation ⋮ A remark on Schröder's equation: formal and analytic linearization of iterative roots of the power series \(f(z)=z\) ⋮ Local analytic solutions of the generalized Dhombres functional equation. II

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