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

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

2008-02-19

arxiv.org/abs/0802.2625v1

Mathematics

Classical Analysis and ODEs

Scientific paper

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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