#20044: calculate asymptotic expansions to some asymptotic expansions exponents
directly
-------------------------------------+-------------------------------------
Reporter: dkrenn | Owner:
Type: enhancement | Status: positive_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: u/cheuberg/asy | 29bffe011e7e034e4807714e6a4a4918b439449f
/pow-var | Stopgaps:
Dependencies: #20043 |
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Changes (by cheuberg):
* status: needs_review => positive_review
* commit: c6ca928f170c82030dae101ef400f3df95410a8d =>
29bffe011e7e034e4807714e6a4a4918b439449f
* reviewer: => Clemens Heuberger
Comment:
Proving mathematical correctness is not completely trivial: if one
rewrites it as `exp( exponent*log(1+x))`, this is no problem. And
expanding these exponential function and logarithms leads to some
monomials in `x` and `exponent`. The error is `O((exponent +
exponent^K)*x^K)` if `K` is the number of exact summands in the binomial
series. Both of these error terms actually occur in the binomial
expansion, so everything is fine.
Added a minor commit (one comma removed); the rest is fine.
----
New commits:
||[http://git.sagemath.org/sage.git/commit/?id=29bffe011e7e034e4807714e6a4a4918b439449f
29bffe0]||{{{Trac #20044: punctuation}}}||
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Ticket URL: <http://trac.sagemath.org/ticket/20044#comment:5>
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