#19540: AsymptoticExpansion.factorial
-------------------------------------+-------------------------------------
Reporter: dkrenn | Owner:
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-7.1
Component: asymptotic | Resolution:
expansions | Merged in:
Keywords: | Reviewers: Clemens Heuberger
Authors: Daniel Krenn | Work issues:
Report Upstream: N/A | Commit:
Branch: | 139f7c8078f6e86549b43860eca815763f9dc160
u/dkrenn/asy/factorial | Stopgaps:
Dependencies: #19306, #19521, |
#19528 |
-------------------------------------+-------------------------------------
Changes (by dkrenn):
* status: needs_work => needs_review
Comment:
Replying to [comment:3 cheuberg]:
> 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.
Corrected (needed more rewriting than thought, but now `factorial` can do
much better)
> And if we have something like `log(m).factorial()`, then everything gets
more involved.
> This either needs to be fixed or documented.
Documented.
--
Ticket URL: <http://trac.sagemath.org/ticket/19540#comment:6>
Sage <http://www.sagemath.org>
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