Definition:Incomplete Elliptic Integral of the First Kind/Completion

Special Function
Let $\map F {k, \dfrac \pi 2}$ denote the incomplete elliptic integral of the first kind.

Then:
 * $\map F {k, \dfrac \pi 2} = \map K k$

where $\map K k$ denotes the complete elliptic integral of the first kind.