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About the Project
19
Elliptic Integrals
Legendre’s Integrals
19.3
Graphics
19.3
Graphics
19.4
Derivatives and Differential Equations
Figure 19.3.7
(See
in context
.)
3D
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Figure 19.3.7:
K
(
k
)
as a function of complex
k
2
for
−
2
≤
ℜ
(
k
2
)
≤
2
,
−
2
≤
ℑ
(
k
2
)
≤
2
. There is a branch cut where
1
<
k
2
<
∞
.
3D
Help
ⓘ
Annotations:
Symbols:
K
(
k
)
: Legendre’s complete elliptic integral of the first kind
,
ℑ
: imaginary part
,
ℜ
: real part
and
k
: real or complex modulus
Permalink:
http://dlmf.nist.gov/19.3.F7.mag
Encodings:
Magnified png
,
Vizualization
,
pdf
See also:
Annotations for
§19.3
and
Ch.19