p. 245 - 252 On the Riccatti differential polynomials A. Ayad 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 PDF Compressed Postscript Version to read ISSN 0862-9544 (Printed edition) Faculty of Mathematics, Physics and Informatics Comenius University 842 48 Bratislava, Slovak Republic Telephone: + 421-2-60295111 Fax: + 421-2-65425882 e-Mail: amuc@fmph.uniba.sk Internet: www.iam.fmph.uniba.sk/amuc © 2010, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE |