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implement creative telescoping #16636

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rwst opened this issue Jul 9, 2014 · 0 comments
Open

implement creative telescoping #16636

rwst opened this issue Jul 9, 2014 · 0 comments

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@rwst
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rwst commented Jul 9, 2014

Creative telescoping denotes a set of algorithms for the discovery of identities, i.e., closed forms in terms of holonomic functions (equivalent to finding polynomial recurrences). This allows automatic conjectures (and proof), and so, using older algorithms, Maxima can solve some sums and integrals using Wilf-Zeilberger theory. More general however are Chyzak's algorithm and the work by Koutschan. Already available optionally in Sage is the Ore algebra package that is needed here.

This meta-ticket implements the full toolkit for holonomic functions similar to Koutschan's Mathematica package HolonomicFunctions, see http://koutschan.de.

CC: @kcrisman

Component: symbolics

Issue created by migration from https://trac.sagemath.org/ticket/16636

@rwst rwst added this to the sage-6.3 milestone Jul 9, 2014
@sagetrac-vbraun-spam sagetrac-vbraun-spam mannequin modified the milestones: sage-6.3, sage-6.4 Aug 10, 2014
@rwst rwst removed this from the sage-6.4 milestone Feb 17, 2015
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