#19316: compute asymptotic expansion to some rational directly
-------------------------------------+----------------------------
Reporter: dkrenn | Owner:
Type: defect | Status: new
Priority: major | Milestone: sage-6.9
Component: asymptotic expansions | Keywords:
Merged in: | Authors:
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies: #19083
Stopgaps: |
-------------------------------------+----------------------------
Currently we have
{{{
sage: A.<y> = AsymptoticRing(growth_group='y^ZZ', coefficient_ring=QQ)
sage: (y^2 + O(y))^(1/2) # not tested
y + O(1)
}}}
It is not tested, since the current implementation rewrites it to
`exp(log(...))` which is not possible in `A`. There is a workaround:
{{{
sage: B.<z> = AsymptoticRing(growth_group='z^QQ * log(z)^QQ',
coefficient_ring=QQ)
sage: (z^2 + O(z))^(1/2)
z + O(1)
}}}
The aim of this ticket is to make such things possible directly.
--
Ticket URL: <http://trac.sagemath.org/ticket/19316>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
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