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Reports (Research Report) Year : 1997

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

Frédéric Chyzak

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.

Domains

Other [cs.OH]
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Dates and versions

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

Identifiers

  • HAL Id : inria-00073494 , version 1

Cite

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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