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

Ali Ayad (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

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.

Mots clés: Puiseux series; Symbolique computation; Complexity theory; polynomial differential equations; Newton polygons; Puiseux series.

Domaines: Mathématiques générales [math.GM]; Algèbres d'opérateurs [math.OA]

Ali Ayad. A note on the computation of Puiseux series solutions of the Riccatti equation associated with a homogeneous linear ordinary differential equation. International Mathematical Forum, 2011, 6 (46), pp.2255-2260. ⟨hal-00258232⟩