Elliptic E

From specialfunctionswiki
Revision as of 16:59, 25 May 2016 by Tom (talk | contribs)
Jump to: navigation, search

If $m=k^2$ we define the complete elliptic integral of the second kind, $E$, to be $$E(k)=E(m)=\displaystyle\int_0^{\frac{\pi}{2}} \sqrt{1-k^2\sin^2 \theta} \mathrm{d}\theta.$$

See Also

Elliptic K
Incomplete Elliptic E

References

"Special Functions" by Leon Hall