Ore Polynomials in Sage

Theory of non-commutative polynomials

Øystein Ore · 1933

Earlier work this paper cites.

Gfun: a Maple package for the manipulation of generating and holonomic functions in one variable

Bruno Salvy and Paul Zimmermann · 1994

Earlier work this paper cites.

An introduction to pseudo-linear algebra

Manuel Bronstein and Marko Petkovšek · 1996

Earlier work this paper cites.

A Subresultant Theory for Linear Differential, Linear Difference, and Ore Polynomials, with Applications

Ziming Li · 1996

Earlier work this paper cites.

Algorithmic manipulations and transformations of univariate holonomic functions and sequences

Christian Mallinger · 1996

Earlier work this paper cites.

Fonctions holonomes en calcul formel

Frédéric Chyzak · 1998

Earlier work this paper cites.

Non-commutative elimination in Ore algebras proves multivariate identities

Frédéric Chyzak and Bruno Salvy · 1998

Cited alongside, same era.

Integration of solutions of linear functional equations

Sergei A. Abramov and Mark van Hoeij · 1999

Cited alongside, same era.

OreTools: a computer algebra library for univariate ore polynomial rings

Sergei A. Abramov, Ha Q. Le, and Ziming Li · 2003

Cited alongside, same era.

Guessing handbook

Manuel Kauers · 2009

Cited alongside, same era.

Advanced Applications of the Holonomic Systems Approach

Christoph Koutschan · 2009

Cited alongside, same era.

HolonomicFunctions (User’s Guide)

Christoph Koutschan · 2010

Cited alongside, same era.

Extended Rate, more GFUN

Waldemar Hebisch and Martin Rubey · 2011

Later among the works it cites.

Improved polynomial remainder sequences for Ore polynomials

Maximilian Jaroschek · 2013

Closest in time.

Desingularization explains order-degree curves for Ore operators

Maximilian Jaroschek, Manuel Kauers, Shaoshi Chen, and Michael F. Singer · 2013

Closest in time.

The holonomic toolkit

Manuel Kauers · 2013

Closest in time.

Sage Mathematics Software (Version 5.9)

Original

W. A. Stein et al · 2013

Closest in time.