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Dixon

Guides

  • Dixon Elliptic Functions

Symbols

  • DixonCM
  • DixonF
  • DixonG
  • DixonPeriods
  • DixonSM
JanM`Dixon`
DixonCM
​
DixonCM[u]
gives the Dixon elliptic function
cm(u)
.
​
​
DixonCM[u,α]
gives the Dixon elliptic function
cm(u,α)
.
​
Details and Options

Examples  
(18)
Basic Examples  
(4)
Evaluate numerically:
In[94]:=
DixonCM
[2.5]
Out[94]=
-0.785469
​
Plot
cm(u)
over a subset of the reals:
In[1]:=
Plot
DixonCM
[u],{u,-5,5}
Out[1]=
​
Plot over a subset of the complexes:
In[1]:=
ComplexPlot3D
DixonCM
[z,1/4],{z,-1-I,1+I},PlotLegendsAutomatic
Out[1]=
​
Series expansion at the origin:
In[1]:=
Series
DixonCM
[u],{u,0,12}
Out[1]=
1-
3
u
3
+
6
u
18
-
23
9
u
2268
+
25
12
u
13608
+
13
O[u]
Scope  
(14)

SeeAlso
DixonSM
 
▪
DixonF
 
▪
DixonG
 
▪
DixonPeriods
RelatedGuides
▪
Dixon Elliptic Functions
""

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