#19969: asymptotic expansion generator: singularity analysis (log-type)
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Reporter: behackl | Owner:
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-7.1
Component: asymptotic | Resolution:
expansions | Merged in:
Keywords: | Reviewers: Clemens Heuberger
Authors: Benjamin Hackl | Work issues:
Report Upstream: N/A | Commit:
Branch: u/behackl/asy/SA- | c83baa89cb1f86815d85fd4cf9aa579ecc117d2a
generator-log | Stopgaps:
Dependencies: #19532 |
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Comment (by cheuberg):
Replying to [comment:4 cheuberg]:
> 2. the error term in the case of beta not in NN is not good, it should
depend on beta (I very much prefer the strategy for beta in ZZ).
at second glance, the error term seems to be fine.
> 4. Could you please post values for `compare_with_values` for `alpha=2`
and `beta=1/2`? With `precision=10`, I get
> {{{
> [(5, -140.014037108338),
> (10, -432.585380667007),
> (20, -1894.51971835043),
> (40, -5905.52939497361),
> (80, -13574.5908343596)]
> }}}
> which I do not find convincing. Of course, convergence will be bad due
to slow growth of logarithms, so larger values might be of interest, but I
do currently lack computer power to test it myself. But that might be a
consequence of 2.
this is settled, much larger values apparently lead to convergence.
--
Ticket URL: <http://trac.sagemath.org/ticket/19969#comment:5>
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