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Elliptic integral

   Also found in: Encyclopedia, Wikipedia 0.04 sec.
(Math.) See Integral.
one of an important class of integrals, occurring in the higher mathematics; - so called because one of the integrals expresses the length of an arc of an ellipse.

See also: Elliptic Integral



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A faster than quadratically convergent series is given for numerical computation of the complete symmetric elliptic integral of the third kind.
where E(w) and K(w) are respectively complete elliptic integrals of the first and second kind, defined according to the convention, (7)
 
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