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Creative Telescoping for Holonomic Functions

2013/07/17 by Christoph Koutschan · 1 citation
Computer Science · #cs.SC

paper · pdf · doi:10.1007/978-3-7091-1616-6_7

published as In Carsten Schneider and Johannes Bluemlein (eds.): Computer Algebra in Quantum Field Theory: Integration, Summation and Special Functions. Texts & Monographs in Symbolic Computation, Springer-Verlag Wien 2013 · Tutorial and survey article, 24 pages

arxiv created 2013/07/17 · arxiv updated 2013/07/18

Abstract

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.

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