Elliptic integral

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(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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Legendre

A faster than quadratically convergent series is given for numerical computation of the complete symmetric elliptic integral of the third kind.

Three improvements in reduction and computation of elliptic integrals by Carlson, B. C. / Journal of Research of the National Institute of Standards and Technology

where E(w) and K(w) are respectively complete elliptic integrals of the first and second kind, defined according to the convention, (7)

Fraunhofer diffraction effects on total power for a planckian source by Shirley, Eric L. / Journal of Research of the National Institute of Standards and Technology

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