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variants of this functions
EllipticPi






Mathematica Notation

Traditional Notation









Elliptic Integrals > EllipticPi[n,z,m] > General characteristics





Branch cuts

With respect to n

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With respect to z

General description

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Formulas on real axis for real m, n

For max(m,n)<1

For m<1< n

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For n<1< m

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For 1<n< m

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For 1<m< n

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Formulas for vertical intervals

For m<1

For m>0

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With respect to m