Creative telescoping for D-finite functions - Lecture 1 | Vidéo | Carmin.tv

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Creative telescoping for D-finite functions - Lecture 1

De Christoph Koutschan

Apparaît dans la 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.

Informations sur la vidéo

Date de captation 05/03/2024
Date de publication 25/03/2024
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Audience Chercheurs, Doctorants
Réalisateur(s) Luca Recanzone
Format MP4

Données de citation

DOI 10.24350/CIRM.V.20148803
Citer cette vidéo 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

Domaine(s)

Bibliographie

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

Codes MSC

Document(s)

https://www.cirm-math.fr/RepOrga/3047/Slides/koutschan_talk.pdf

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