Creative Telescoping for Holonomic Functions

The aim of this article is twofold: on the one hand it is intended to serve as a gentle introduction to the topic of creative telescoping, from a practical point of view; for this purpose its application to several problems is exemplified. On the other hand, this chapter has the flavour of a survey...

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Bibliographic Details
Published inComputer Algebra in Quantum Field Theory pp. 171 - 194
Main Author Koutschan, Christoph
Format Book Chapter
LanguageEnglish
Published Austria Springer Wien 2013
Springer Vienna
SeriesTexts & Monographs in Symbolic Computation
Subjects
Closure Property
Computer Algebra System
Finite Function
Holonomic Function
Left Ideal
Mathematical physics
Quantum physics (quantum mechanics & quantum field theory)
Statistical physics
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Summary:The aim of this article is twofold: on the one hand it is intended to serve as a gentle introduction to the topic of creative telescoping, from a practical point of view; for this purpose its application to several problems is exemplified. On the other hand, this chapter has the flavour of a survey article: the developments in this area during the last two decades are sketched and a selection of references is compiled in order to highlight the impact of creative telescoping in numerous contexts.
ISBN:3709116155
9783709116159
ISSN:0943-853X
DOI:10.1007/978-3-7091-1616-6_7