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On the Riccatti differential polynomials

Author(s): A. Ayad

Journal: Acta Mathematica Universitatis Comenianae
ISSN 0862-9544

Volume: LXXIX;
Issue: 2;
Start page: 245;
Date: 2010;
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Keywords: Symbolic computations | homogeneous linear ordinary differential equations | Riccatti differential polynomials and Newton polygons

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.
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