OreSys

A Mathematica Implementation of several Algorithms for Uncoupling Systems of Linear Ore Operator Equations

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This package is part of the RISCErgoSum bundle. See Download and Installation.

Short Description

OreSys is a Mathematica package for uncoupling systems of linear Ore operator equations. It offers four algorithms for reducing systems of differential or (q-)difference equations to higher order equations in a single unknown variable.The package has been developed by Stefan Gerhold, a former member of the RISC Combinatorics group.

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Literature

The implemented uncoupling algorithms and the underlying theory are described in
  • S. Gerhold, Uncoupling Systems of Linear Ore Operator Equations, Diploma Thesis, RISC, J. Kepler University, Linz, February 2002. [ps]