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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 22.3.1
(See
in context
.)
Figure 22.3.1:
k
=
0.4
,
−
3
K
≤
x
≤
3
K
,
K
=
1.6399
…
.
ⓘ
Annotations:
Symbols:
cn
(
z
,
k
)
: Jacobian elliptic function
,
dn
(
z
,
k
)
: Jacobian elliptic function
,
sn
(
z
,
k
)
: Jacobian elliptic function
,
K
(
k
)
: Legendre’s complete elliptic integral of the first kind
,
x
: real
and
k
: modulus
Permalink:
http://dlmf.nist.gov/22.3.F1.mag
Encodings:
Magnified png
,
pdf
See also:
Annotations for
§22.3
and
Ch.22
Figure 22.3.1: ,
,
.