Difference between revisions of "Incomplete Elliptic K"
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(Created page with "The incomplete elliptic integral of the first kind is $$K(\phi |k) = K(\phi |m) = \displaystyle\int_0^{\phi} \dfrac{1}{\sqrt{1-k^2\sin^2 \theta}} d\theta.$$") |
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The incomplete elliptic integral of the first kind is | The incomplete elliptic integral of the first kind is | ||
$$K(\phi |k) = K(\phi |m) = \displaystyle\int_0^{\phi} \dfrac{1}{\sqrt{1-k^2\sin^2 \theta}} d\theta.$$ | $$K(\phi |k) = K(\phi |m) = \displaystyle\int_0^{\phi} \dfrac{1}{\sqrt{1-k^2\sin^2 \theta}} d\theta.$$ | ||
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| + | =See Also= | ||
| + | [[Elliptic K]] <br /> | ||
| + | [[Incomplete Elliptic E]] | ||
| + | |||
| + | =References= | ||
| + | [http://web.mst.edu/~lmhall/SPFNS/spfns.pdf "Special Functions" by Leon Hall] | ||
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| + | [[Category:SpecialFunction]] | ||
Latest revision as of 18:38, 24 May 2016
The incomplete elliptic integral of the first kind is $$K(\phi |k) = K(\phi |m) = \displaystyle\int_0^{\phi} \dfrac{1}{\sqrt{1-k^2\sin^2 \theta}} d\theta.$$
See Also
Elliptic K
Incomplete Elliptic E
