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Dixon
Guides
Dixon Elliptic Functions
Symbols
DixonCM
DixonF
DixonG
DixonPeriods
DixonSM
JanM`Dixon`
D
i
x
o
n
G
D
i
x
o
n
G
[
u
]
g
i
v
e
s
t
h
e
D
i
x
o
n
a
s
s
o
c
i
a
t
e
d
f
u
n
c
t
i
o
n
g
(
u
)
.
D
i
x
o
n
G
[
u
,
α
]
g
i
v
e
s
t
h
e
D
i
x
o
n
a
s
s
o
c
i
a
t
e
d
f
u
n
c
t
i
o
n
g
(
u
,
α
)
.
D
e
t
a
i
l
s
a
n
d
O
p
t
i
o
n
s
Examples
(
1
8
)
Basic Examples
(
4
)
Evaluate numerically:
I
n
[
1
8
7
]
:
=
D
i
x
o
n
G
[
2
.
5
]
O
u
t
[
1
8
7
]
=
2
.
8
2
3
8
5
+
1
.
6
2
7
7
7
×
-
1
6
1
0
Plot
g
(
u
)
over a subset of the reals:
I
n
[
1
]
:
=
P
l
o
t
D
i
x
o
n
G
[
u
]
,
{
u
,
-
5
,
5
}
O
u
t
[
1
]
=
Plot over a subset of the complexes:
I
n
[
1
]
:
=
C
o
m
p
l
e
x
P
l
o
t
3
D
D
i
x
o
n
G
[
z
,
1
/
4
]
,
{
z
,
-
1
-
I
,
1
+
I
}
,
P
l
o
t
L
e
g
e
n
d
s
A
u
t
o
m
a
t
i
c
O
u
t
[
1
]
=
Series expansion at the origin:
I
n
[
1
]
:
=
S
e
r
i
e
s
D
i
x
o
n
G
[
u
]
,
{
u
,
0
,
1
2
}
O
u
t
[
1
]
=
1
+
3
u
6
-
6
u
3
6
0
-
9
u
4
5
3
6
0
-
1
9
1
2
u
5
9
8
7
5
2
0
0
+
1
3
O
[
u
]
S
c
o
p
e
(
1
4
)
S
e
e
A
l
s
o
D
i
x
o
n
C
M
▪
D
i
x
o
n
S
M
▪
D
i
x
o
n
F
R
e
l
a
t
e
d
G
u
i
d
e
s
▪
D
i
x
o
n
E
l
l
i
p
t
i
c
F
u
n
c
t
i
o
n
s
"
"