#19944: asymptotic expansions: singularity analysis
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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: Daniel Krenn
Authors: Benjamin Hackl, | Work issues:
Clemens Heuberger | Commit:
Report Upstream: N/A | 3743f9d9c5794053bc31e2f434590d9cd53efbfd
Branch: u/dkrenn/asy | Stopgaps:
/singularity-analysis-method |
Dependencies: #19532 |
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Comment (by cheuberg):
A few thoughts on your comments:
* `asymptotic_expansions.SingularityAnalysis` with `precision=0` could
very well return the transfer error term; I think that this would be
consistent with `precision=0`. And `precision=0` does not work anyway at
the moment.
* Then, indeed, an !ExactTerm could do singularity analysis by calling
singularity analysis on the growth element and multiply by its
coefficient; and an OTerm could do singularity analysis by calling
singularity analysis on the growth element with `precision=0`.
* A monomial growth group would do singularity analysis by checking
whether it is a growth group in `T` (then call the generator with
`alpha=...` and `beta=0`) or a growth group in `log(T)` (call a yet to be
written generator for `(1-z)^alpha (log(1-u))^beta`)
* A cartesian growth group would restrict its attention to cases where all
non-trivial contributions come from one factor (hand the question down to
the factor) or from two factors (in that case, the cartesian growth group
has to do the job on its own calling the above mentioned generator).
--
Ticket URL: <http://trac.sagemath.org/ticket/19944#comment:10>
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