Definition:Incomplete Elliptic Integral of the Second Kind/Completion
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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.