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22
Jacobian Elliptic Functions
Properties
22.3
Graphics
22.3
Graphics
22.4
Periods, Poles, and Zeros
Figure 22.3.3
(See
in context
.)
Figure 22.3.3:
k
=
0.99
,
−
3
K
≤
x
≤
3
K
,
K
=
3.3566
…
.
ⓘ
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.F3.mag
Encodings:
Magnified png
,
pdf
See also:
Annotations for
§22.3
and
Ch.22
Figure 22.3.3: ,
,
.
