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Convergence of formal solutions of certain functional equations

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Publication:1195605
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DOI10.1007/BF01834207zbMath0762.39012OpenAlexW2037576038MaRDI QIDQ1195605

Jean-Paul Bézivin

Publication date: 6 January 1993

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

Full work available at URL: https://eudml.org/doc/137482


zbMATH Keywords

functional equationformal power seriespositive radius of convergence


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) Functional equations for complex functions (39B32)


Related Items (3)

On the convergence of generalized power series solutions of \(q\)-difference equations ⋮ Power series solutions of non-linear \(q\)-difference equations and the Newton-Puiseux polygon ⋮ An ultrametric version of the Maillet-Malgrange theorem for nonlinear $q$-difference equations




Cites Work

  • Iteration of analytic functions
  • Unnamed Item
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