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Dixon

Guides

  • Dixon Elliptic Functions

Symbols

  • DixonCM
  • DixonF
  • DixonG
  • DixonPeriods
  • DixonSM
JanM`Dixon`
DixonG
​
DixonG[u]
gives the Dixon associated function
g(u)
.
​
​
DixonG[u,α]
gives the Dixon associated function
g(u,α)
.
​
Details and Options

Examples  
(18)
Basic Examples  
(4)
Evaluate numerically:
In[187]:=
DixonG
[2.5]
Out[187]=
2.82385+1.62777×
-16
10

​
Plot
g(u)
over a subset of the reals:
In[1]:=
Plot
DixonG
[u],{u,-5,5}
Out[1]=
​
Plot over a subset of the complexes:
In[1]:=
ComplexPlot3D
DixonG
[z,1/4],{z,-1-I,1+I},PlotLegendsAutomatic
Out[1]=
​
Series expansion at the origin:
In[1]:=
Series
DixonG
[u],{u,0,12}
Out[1]=
1+
3
u
6
-
6
u
360
-
9
u
45360
-
19
12
u
59875200
+
13
O[u]
Scope  
(14)

SeeAlso
DixonCM
 
▪
DixonSM
 
▪
DixonF
RelatedGuides
▪
Dixon Elliptic Functions
""

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