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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 »
|
EllipticF
EllipticE
EllipticPi
JacobiZeta
EllipticNomeQ
ArithmeticGeometricMean
See Also »
|
Elliptic Integrals
Mathematical Functions
Special Functions
More About »
EllipticK
EllipticK
[
m
]
gives the complete elliptic integral of the first kind
.
MORE INFORMATION
Mathematical function, suitable for both symbolic and numerical manipulation.
EllipticK
is given in terms of the incomplete elliptic integral of the first kind by
.
EllipticK
[
m
]
has a branch cut discontinuity in the complex
m
plane running from
to
.
For certain special arguments,
EllipticK
automatically evaluates to exact values.
EllipticK
can be evaluated to arbitrary numerical precision.
EllipticK
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
(7)
Generalizations & Extensions
(1)
Applications
(5)
Properties & Relations
(6)
Possible Issues
(3)
Neat Examples
(1)
SEE ALSO
EllipticF
EllipticE
EllipticPi
JacobiZeta
EllipticNomeQ
ArithmeticGeometricMean
TUTORIALS
Elliptic Integrals and Elliptic Functions
RELATED LINKS
MathWorld
The Wolfram Functions Site
NKS|Online
(
A New Kind of Science
)
MORE ABOUT
Elliptic Integrals
Mathematical Functions
Special Functions
New in 1
. 
. 
to 
.
EXAMPLES
Basic Examples 
Scope 