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variants of this functions
EllipticPi






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Elliptic Integrals > EllipticPi[n,m] > Introduction to the complete elliptic integrals





Definitions of complete elliptic integrals

The complete elliptic integral of the first kind , the complete elliptic integral of the second kind , and the complete elliptic integral of the third kind are defined through the following formulas:

where the incomplete elliptic integrals of the first, second, and third kind are as follows:





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