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About the Project
22
Jacobian Elliptic Functions
Properties
22.3
Graphics
22.3
Graphics
22.4
Periods, Poles, and Zeros
Figure 22.3.16
(See
in context
.)
Figure 22.3.16:
sn
(
x
+
i
y
,
k
)
for
k
=
0.99
,
−
3
K
≤
x
≤
3
K
,
0
≤
y
≤
4
K
′
.
K
=
3.3566
…
,
K
′
=
1.5786
…
.
ⓘ
Annotations:
Symbols:
sn
(
z
,
k
)
: Jacobian elliptic function
,
K
′
(
k
)
: Legendre’s complementary complete elliptic integral of the first kind
,
K
(
k
)
: Legendre’s complete elliptic integral of the first kind
,
i
: imaginary unit
,
x
: real
,
y
: real
and
k
: modulus
Permalink:
http://dlmf.nist.gov/22.3.F16.viz
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:
Y
:
Z
:
Cutting Control
x
y
z
clear
plane: