Ore polynomials in Sage

Authors: Manuel Kauers, Maximilian Jaroschek, Fredrik Johansson

arXiv preprint: http://arxiv.org/abs/1306.4263, published June 18, 2013.


We present a Sage implementation of Ore algebras. The main features for the most common instances include basic arithmetic and actions; gcrd and lclm; D-finite closure properties; natural transformations between related algebras; guessing; desingularization; solvers for polynomials, rational functions and (generalized) power series. This paper is a tutorial on how to use the package.


The code is available from http://www.risc.jku.at/research/combinat/software/ore_algebra.

Last updated September 12, 2013. Contact: fredrik.johansson@gmail.com.

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