On the convergence of formal power-log series solutions of an algebraic\n ODE

2021/11/13 by Renat Gontsov, Gontsov, Renat, Irina Goryuchkina +1
Computer Science · Mathematics · #Advanced Database Systems and Queries #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Dynamics and Fractals #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.2111.07159

openalex publication_date 2021/11/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We propose a sufficient condition of the convergence of a power-log series\nthat formally satisfies an algebraic ordinary differential equation (ODE) of\narbitrary order. A general form and properties of the functional coefficients\nof such a series are established.\n

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