Definition:Incomplete Elliptic Integral of the Second Kind/Completion

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

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

where $\map E k$ denotes the complete elliptic integral of the second kind.