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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.
Keywords
  • Decomposition
  • differential polynomial
  • difference polynomial

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