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On the Riccatti differential polynomials
Received: Decamber 3, 2009; Revised: June 5, 2010; Accepted: June 10, 2010
Abstract. We present in this paper some properties of the Riccatti differential polynomial associated with a homogeneous linear ordinary differential equation. We give a complete description of the differential Newton polygons of its derivatives and its evaluations.
Keywords: Symbolic computations; homogeneous linear ordinary differential equations; Riccatti differential polynomials and Newton polygons.
AMS Subject classification: Primary: 12H05 Secondary: 34A26
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