On the Poincaré functional equation

2022/09/05 by Sergei Kazenas, Kazenas, Sergei
Computer Science · Mathematics · #13F25 (Primary) 39B32 (Secondary) #Advanced Topics in Algebra #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #Dynamical Systems (math.DS) #FOS: Mathematics #Functional Equations Stability Results #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.2209.01907

openalex publication_date 2022/09/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, a formula for the solution of the Poincaré functional equation in algebra of formal power series and its application to continuous iteration are presented.

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