#16008: inclusion of the ore_algebra within Sage
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Reporter: zimmerma | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.2
Component: algebra | Keywords: gfun Mgfun Ore guessing
Merged in: | Authors:
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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the group of Manuel Kauers at RISC develops the {{{ore_algebra}}} package
(http://www.risc.jku.at/research/combinat/software/ore_algebra/index.php)
which is similar to the
Maple gfun package (but more powerful since it works in more general
rings), and will be extended to
the multivariate case. A small example with version 0.1:
{{{
sage: from ore_algebra import *
sage: R.<x> = QQ[]; A.<Dx> = OreAlgebra(R)
sage: deq = guess([1,1,2,3,5,8,13,21],A)
sage: deq
(x^2 + x - 1)*Dx + 2*x + 1
sage: rec = A(deq).to_S(A2)
sage: rec
(-n - 2)*Sn^2 + (n + 2)*Sn + n + 2
}}}
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Ticket URL: <http://trac.sagemath.org/ticket/16008>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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