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22
Jacobian Elliptic Functions
Properties
22.4
Periods, Poles, and Zeros
22.4
Periods, Poles, and Zeros
22.5
Special Values
Figure 22.4.1
(See
in context
.)
(a)
sn
(
z
,
k
)
(b)
cn
(
z
,
k
)
(c)
dn
(
z
,
k
)
Figure 22.4.1:
z
-plane. Poles
×
×
×
and zeros
∘
∘
∘
of the principal Jacobian elliptic functions.
ⓘ
Annotations:
Symbols:
cn
(
z
,
k
)
: Jacobian elliptic function
,
dn
(
z
,
k
)
: Jacobian elliptic function
,
sn
(
z
,
k
)
: Jacobian elliptic function
,
z
: complex
and
k
: modulus
Permalink:
http://dlmf.nist.gov/22.4.F1.mag
Encodings:
Magnified png
,
Magnified png
,
Magnified png
,
pdf
,
pdf
,
pdf
See also:
Annotations for
§22.4
and
Ch.22
