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TitleHolonomic functions in Mathematica.
Author(s) Christoph Koutschan
TypeArticle in Journal
AbstractWe present the Mathematica package HolonomicFunctions which provides a powerful framework for the automatic manipulation of multivariate holonomic functions, in the spirit of Zeilberger's holonomic systems approach. Its top-level functionalities are: converting a mathematical expression into a holonomic description, executing holonomic closure properties, and creative telescoping for general holonomic functions. To achieve these goals, many other, lower-level, functionalities had to be implemented which were not available in the Mathematica system: finding rational solutions of linear systems of (q-) difference / differential equations, noncommutative arithmetic in Ore algebras and computing Gröbner bases in such domains.
ISSN1932-2232; 1932-2240/e
URL http://dl.acm.org/citation.cfm?doid=2576802.2576831
LanguageEnglish
JournalACM Commun. Comput. Algebra
Volume47
Number3-4
Pages179--182
PublisherAssociation for Computing Machinery (ACM), New York, NY
Year2013
Edition0
Translation No
Refereed No
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