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

References in periodicals archive ?
where k is the complete elliptical integral of the first kind, and E is the complete elliptical integral of the 2nd kind.
2]], and E(p[prime]) is the complete elliptical integrals of the second kind.
It is worthnoting that integrating equation (16) directly leads to elliptical integrals which are ackward to handle; thus differentiating yields the following second order differential equation