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=
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[[Elliptic K]] <br />
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[[Incomplete Elliptic E]]
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=References=
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[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

References

"Special Functions" by Leon Hall