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Computing differential subresultants with Maple

Symbolic Computation 2025-12-08 v1

Abstract

We review the definition and main properties of differential subresultants in order to achieve their implementation in Maple, using the DEtools package. The focus is on computing GCRDs of ordinary differential operators with non necessarily rational coefficients. Determinant expressions provide explicit control, enabling the treatment of coefficients with parameters. Applications to commuting ordinary differential operators illustrate the effectiveness of the method.

Keywords

Cite

@article{arxiv.2512.05133,
  title  = {Computing differential subresultants with Maple},
  author = {M. Cabellos and S. L. Rueda},
  journal= {arXiv preprint arXiv:2512.05133},
  year   = {2025}
}

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10 pages, 0 figures