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23
Weierstrass Elliptic and Modular
Functions
Modular Functions
23.16
Graphics
23.16
Graphics
23.17
Elementary Properties
Figure 23.16.1
(See
in context
.)
Magnify
Figure 23.16.1:
Modular functions
λ
(
i
y
)
,
J
(
i
y
)
,
η
(
i
y
)
for
0
≤
y
≤
3
. See also Figure
20.3.2
.
Magnify
ⓘ
Annotations:
Symbols:
η
(
τ
)
: Dedekind’s eta function (or Dedekind modular function)
,
J
(
τ
)
: Klein’s complete invariant
,
i
: imaginary unit
,
λ
(
τ
)
: elliptic modular function
and
y
: imaginary part of
z
Permalink:
http://dlmf.nist.gov/23.16.F1.mag
Encodings:
Magnified png
,
pdf
See also:
Annotations for
§23.16
and
Ch.23