Difference between revisions of "Elliptic K"
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[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] | ||
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Revision as of 18:37, 24 May 2016
The Elliptic $K$ function is also known as the complete Elliptic integral of the first kind. If $m=k^2$ we define the complete elliptic integral of the first kind, $K$ to be $$K(k)=K(m)=\displaystyle\int_0^{\frac{\pi}{2}} \dfrac{1}{\sqrt{1-k^2\sin^2 \theta}} d\theta.$$
See Also
Elliptic E
Incomplete Elliptic K
