Creative telescoping for D-finite functions - Lecture 2 | Vidéo | Carmin.tv

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Creative telescoping for D-finite functions - Lecture 2

By Christoph Koutschan

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.

Information about the video

Date of recording 07/03/2024
Date of publication 25/03/2024
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Luca Recanzone
Format MP4

Citation data

DOI 10.24350/CIRM.V.20149303
Cite this video Koutschan, Christoph (07/03/2024). Creative telescoping for D-finite functions - Lecture 2. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20149303
URL https://dx.doi.org/10.24350/CIRM.V.20149303

Domain(s)

Bibliography

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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