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DOCUMENTATION CENTER SEARCH
Mathematica
>
Mathematics and Algorithms
>
Mathematical Functions
>
Special Functions
>
Elliptic Integrals
>
Built-in
Mathematica
Symbol
Elliptic Integrals and Elliptic Functions
Tutorials »
|
EllipticK
Mean
GeometricMean
See Also »
|
Elliptic Integrals
More About »
ArithmeticGeometricMean
ArithmeticGeometricMean
[
a
,
b
]
gives the arithmetic-geometric mean of
a
and
b
.
MORE INFORMATION
For certain special arguments,
ArithmeticGeometricMean
automatically evaluates to exact values.
ArithmeticGeometricMean
can be evaluated to arbitrary numerical precision.
ArithmeticGeometricMean
is a homogeneous function of
a
and
b
, and has a branch cut discontinuity in the complex
plane, with a branch cut running from from
to
.
ArithmeticGeometricMean
automatically threads over lists.
EXAMPLES
CLOSE ALL
Basic Examples
(3)
Evaluate numerically:
In[1]:=
Out[1]=
In[1]:=
Out[1]=
In[1]:=
Out[1]=
Scope
(5)
Applications
(3)
Properties & Relations
(3)
SEE ALSO
EllipticK
Mean
GeometricMean
TUTORIALS
Elliptic Integrals and Elliptic Functions
RELATED LINKS
MathWorld
The Wolfram Functions Site
NKS|Online
(
A New Kind of Science
)
MORE ABOUT
Elliptic Integrals
New in 1
plane, with a branch cut running from from 
to 
. 
EXAMPLES
Basic Examples 
Scope 