#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     |   Resolution:
       Keywords:               |    Merged in:
        Authors:               |    Reviewers:
Report Upstream:  N/A          |  Work issues:
         Branch:               |       Commit:
   Dependencies:               |     Stopgaps:
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Comment (by kcrisman):

 Do you mean
 
[http://www.sagemath.org/doc/reference/functions/sage/functions/special.html?highlight=elliptic_kc#sage.functions.special.EllipticKC
 elliptic_kc]?  This is indeed in Maxima, though not yet a "Sage symbolic
 function".  See also [http://trac.sagemath.org/wiki/symbolics/functions
 the symbolics page on Trac] where a few things about this are mentioned.

 Oh, I see what you mean about the elliptic - like
 [https://github.com/acmeism/RosettaCodeData/blob/master/Task/Arithmetic-
 geometric-mean/Maxima/arithmetic-geometric-mean.maxima this Rosetta
 stone].  Anyway, I would think that we can do this fairly easily - also
 note mpmath has
 
[http://sage.math.washington.edu/home/fredrik/mpmath/doc/0.18/functions/powers.html?highlight=agm#mpmath.agm
 the agm] and
 
[http://sage.math.washington.edu/home/fredrik/mpmath/doc/0.18/functions/elliptic.html?highlight=elliptic#ellipk
 the elliptic integral in question], and mpmath is probably a go-to for
 numerical evaluation of our most recent implementations of special
 functions.

--
Ticket URL: <http://trac.sagemath.org/ticket/16202#comment:1>
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