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20
Theta Functions
Properties
20.3
Graphics
20.3
Graphics
20.4
Values at
z
= 0
Figure 20.3.18
(See
in context
.)
Figure 20.3.18:
θ
1
(
0.1
|
u
+
i
v
)
,
−
1
≤
u
≤
1
,
0.005
≤
v
≤
0.5
. The value 0.1 of
z
is chosen arbitrarily since
θ
1
vanishes identically when
z
=
0
.
ⓘ
Annotations:
Symbols:
θ
j
(
z
|
τ
)
: theta function
,
i
: imaginary unit
and
z
: complex
Permalink:
http://dlmf.nist.gov/20.3.F18.viz
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