#16202: implement the agm(x,y) function
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Reporter: rws | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.2
Component: calculus | Keywords:
Merged in: | Authors:
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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https://en.wikipedia.org/wiki/Arithmetic-geometric_mean
Pari has a numeric implementation:
{{{
? 1/agm(1,sqrt(2))
%1 = 0.83462684167407318628142973279904680900
}}}
but Wikipedia provides a closed form integral expression, and if we had
the "complete elliptic integral of the first kind" this would be even
simpler.
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Ticket URL: <http://trac.sagemath.org/ticket/16202>
Sage <http://www.sagemath.org>
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