Decomposition of Differential Polynomials

Authors Xiao-Shan Gao, Mingbo Zhang



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Xiao-Shan Gao
Mingbo Zhang

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Xiao-Shan Gao and Mingbo Zhang. Decomposition of Differential Polynomials. In Challenges in Symbolic Computation Software. Dagstuhl Seminar Proceedings, Volume 6271, pp. 1-10, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2006) https://doi.org/10.4230/DagSemProc.06271.9

Abstract

We present an algorithm to decompose nonlinear differential
polynomials in one variable and with rational functions as
coefficients. The algorithm is implemented in Maple for the {em
constant field} case. The program can be used to decompose
differential polynomials with more than one thousand terms
effectively.

Subject Classification

Keywords
  • Decomposition
  • differential polynomial
  • difference polynomial

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