Difference between revisions of "Elliptic E"

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=See Also=
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[[Eliptic K]] <br />
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[[Incomplete elliptic E]]
  
 
=References=
 
=References=
 
[http://web.mst.edu/~lmhall/SPFNS/spfns.pdf "Special Functions" by Leon Hall]
 
[http://web.mst.edu/~lmhall/SPFNS/spfns.pdf "Special Functions" by Leon Hall]

Revision as of 02:16, 6 January 2016

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

See Also

Eliptic K
Incomplete elliptic E

References

"Special Functions" by Leon Hall