#19540: AsymptoticExpansion.factorial
-------------------------------------+-------------------------------------
Reporter: dkrenn | Owner:
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-6.10
Component: asymptotic | Resolution:
expansions | Merged in:
Keywords: | Reviewers: Clemens Heuberger
Authors: Daniel Krenn | Work issues:
Report Upstream: N/A | Commit:
Branch: | 8858983adc355647a528bbc04f9999bda4e342d9
u/dkrenn/asy/factorial | Stopgaps:
Dependencies: #19306, #19521, |
#19528 |
-------------------------------------+-------------------------------------
Changes (by cheuberg):
* status: needs_review => needs_work
* reviewer: => Clemens Heuberger
Comment:
In principle, this would be fine; however, the following example fails:
{{{
sage: A.<m> = AsymptoticRing('m^QQ', QQ)
sage: m.factorial()
Traceback (most recent call last):
...
TypeError: ...
>>>>>> *previous* ArithmeticError: Cannot build log(m)
since log(m) is not in Growth Group
m^QQ * (e^(n*log(n)))^QQ * (e^n)^QQ * n^QQ * log(n)^QQ.
}}}
The problem is that the method tries to build the correct growth group in
`n` (hard-coded) but has no influence on the given growth group.
And if we have something like `log(m).factorial()`, then everything gets
more involved.
This either needs to be fixed or documented.
--
Ticket URL: <http://trac.sagemath.org/ticket/19540#comment:3>
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