#20020: asymptotic expansion generator: singularity analysis (log-type) without
renormalization
-------------------------------------+-------------------------------------
Reporter: cheuberg | Owner:
Type: enhancement | Status: positive_review
Priority: major | Milestone: sage-7.1
Component: asymptotic | Resolution:
expansions | Merged in:
Keywords: | Reviewers: Daniel Krenn
Authors: Clemens Heuberger | Work issues:
Report Upstream: N/A | Commit:
Branch: u/dkrenn/asy | 4462b276a506a8a3439a4cad07fa1df09a4d6892
/singularity-generator-log-non- | Stopgaps:
normalized |
Dependencies: #19969 |
-------------------------------------+-------------------------------------
Changes (by dkrenn):
* status: needs_review => positive_review
* reviewer: => Daniel Krenn
Comment:
From the docstring:
{{{
sage:
asymptotic_expansions._SingularityAnalysis_non_normalized_(
....: 'n', 1, alpha=2, beta=2, precision=4) / n
log(n)^2 + (2*euler_gamma - 2)*log(n)
- 2*euler_gamma + euler_gamma^2 - 1/6*pi^2 + 2
+ n^(-1)*log(n)^2 + O(n^(-1)*log(n))
Be aware that the last result does *not* coincide with [FS2009]_,
they do have a different error term.
}}}
I've checked this result and it (in particular, the term
`n^(-1)*log(n)^2`) seems to be correct.
Apart from that, everything looks good.
--
Ticket URL: <http://trac.sagemath.org/ticket/20020#comment:10>
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