EllipticF
 Usage
Notes
 Further Examples
This is the definition of the elliptic integral of the first kind. Classically, the integral is defined for  on the interval  , but the function also makes sense for more general (complex-valued)  .
In[1]:=
|
Out[1]=
|
Setting  gives the complete elliptic integral of the first kind, which is traditionally denoted by a different letter,  .
In[2]:=
|
Out[2]=
|
These are the partial derivatives.
In[3]:=
|
Out[3]=
|
In[4]:=
|
Out[4]=
|
| 
