ACTA MATHEMATICA
UNIVERSITATIS COMENIANAE




Vol. LXXIX, 2 (2010)
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






Acta Mathematica Universitatis Comenianae
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