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Non-commutative Elimination in Ore Algebras Proves Multivariate Identities

Frédéric Chyzak 1 Bruno Salvy 1 
1 ALGO - Algorithms
Inria Paris-Rocquencourt
Abstract : Many identities involving special functions can be proved using the theory of D-finite or holonomic sequences and functions. This theory applies in particular to numerous combinatorial identities. This work presents a theoretical and algorithmic approach to the multivariate case, together with an implementation.
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Reports (Research report)
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Submitted on : Wednesday, May 24, 2006 - 2:00:15 PM
Last modification on : Wednesday, October 26, 2022 - 8:16:17 AM
Long-term archiving on: : Thursday, March 24, 2011 - 1:14:02 PM


  • HAL Id : inria-00073891, version 1



Frédéric Chyzak, Bruno Salvy. Non-commutative Elimination in Ore Algebras Proves Multivariate Identities. [Research Report] RR-2799, INRIA. 1996. ⟨inria-00073891⟩



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