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22
Jacobian Elliptic Functions
Properties
22.3
Graphics
22.3
Graphics
22.4
Periods, Poles, and Zeros
Figure 22.3.26
(See
in context
.)
Figure 22.3.26:
Density plot of
|
sn
(
5
,
k
)
|
as a function of complex
k
2
,
−
10
≤
ℜ
(
k
2
)
≤
20
,
−
10
≤
ℑ
(
k
2
)
≤
10
. Grayscale, running from 0 (black) to 10 (white), with
|
(
sn
(
5
,
k
)
)
|
>
10
truncated to 10. White spots correspond to poles.
ⓘ
Annotations:
Symbols:
sn
(
z
,
k
)
: Jacobian elliptic function
,
ℑ
: imaginary part
,
ℜ
: real part
and
k
: modulus
Keywords:
Jacobian elliptic functions
,
complex
,
modulus
Permalink:
http://dlmf.nist.gov/22.3.F26.mag
Encodings:
Magnified png
,
pdf
See also:
Annotations for
§22.3
and
Ch.22