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Appears in collection : 2024 - French computer algebra days / Journées nationales de calcul formel

D-finite functions play a prominent role in computer algebra because they are well suited for representation in a symbolic software system, and because they include many functions of interest, such as special functions, orthogonal polynomials, generating functions from combinatorics, etc. Whenever one wishes to study the integral or the sum of a D-finite function, the method of creative telescoping may be applied. This method has been systematically introduced by Zeilberger in the 1990s, and since then has found applications in various different domains. In this lecture, we explain the underlying theory, review some of the history and talk about some recent developments in this area.

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Citation data

  • DOI 10.24350/CIRM.V.20148803
  • Cite this video Koutschan, Christoph (05/03/2024). Creative telescoping for D-finite functions - Lecture 1. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20148803
  • URL https://dx.doi.org/10.24350/CIRM.V.20148803


  • Advanced applications of the holonomic systems approach Christoph Koutschan - PhD thesis, Research Institute for Symbolic Computation (RISC), Johannes Kepler University, Linz, Austria, 2009. -

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