An Extension of Zeilberger's Fast Algorithm to General Holonomic Functions

Frédéric Chyzak 1
1 ALGO - Algorithms
Inria Paris-Rocquencourt
Abstract : We extend Zeilberger's fast algorithm for definite hypergeometric summation to non-hypergeometric holonomic sequences. The algorithm generalizes to differential and~$q$-cases as well. Its theoretical justification is based on a description by linear operators and on the theory of holonomy.
Type de document :
Rapport
[Research Report] RR-3195, INRIA. 1997
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https://hal.inria.fr/inria-00073494
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Soumis le : mercredi 24 mai 2006 - 13:02:37
Dernière modification le : vendredi 25 mai 2018 - 12:02:02
Document(s) archivé(s) le : jeudi 24 mars 2011 - 12:51:51

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Frédéric Chyzak. An Extension of Zeilberger's Fast Algorithm to General Holonomic Functions. [Research Report] RR-3195, INRIA. 1997. 〈inria-00073494〉

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