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Rapport (Rapport De Recherche) Année : 1997

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

Frédéric Chyzak

Résumé

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.

Domaines

Autre [cs.OH]
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Dates et versions

inria-00073494 , version 1 (24-05-2006)

Identifiants

  • HAL Id : inria-00073494 , version 1

Citer

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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