elliptic integral of the second kind

elliptic integral of the second kind

[ə¦lip·tik ¦int·ə·grəl əvthə ¦sek·ənd ‚kīnd]
(mathematics)
Any elliptic integral which approaches infinity as one of the limits of integration y approaches infinity, or which is infinite for some value of y, but which has no logarithmic singularities in y.
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Incomplete elliptic integral of the second kind E is defined as
The complete elliptic integral of the second kind E is proportional to the circumference of the ellipse C:
Complete elliptic integral of the second kind is defined as The complete elliptic integral of the second kind E is proportional to the circumference of the ellipse C

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