A note on the computation of Puiseux series solutions of the Riccatti equation associated with a homogeneous linear ordinary differential equation

2008/02/19 by Ali Ayad, Ayad, Ali
Physics and Astronomy · Computer Science · Mathematics · #Nonlinear Waves and Solitons #Polynomial and algebraic computation #Algebraic structures and combinatorial models

paper · pdf · doi:10.48550/arxiv.0802.2625

Abstract

We present in this paper a detailed note on the computation of Puiseux series solutions of the Riccatti equation associated with a homogeneous linear ordinary differential equation. This paper is a continuation of [1] which was on the complexity of solving arbitrary ordinary polynomial differential equations in terms of Puiseux series.

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