cppdraft_translate/cppdraft/sf/cmath/comp/ellint/3.md

[sf.cmath.comp.ellint.3]

29 Numerics library [numerics]

29.7 Mathematical functions for floating-point types [c.math]

29.7.6 Mathematical special functions [sf.cmath]

29.7.6.7 Complete elliptic integral of the third kind [sf.cmath.comp.ellint.3]

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floating-point-type comp_ellint_3(floating-point-type k, floating-point-type nu); float comp_ellint_3f(float k, float nu); long double comp_ellint_3l(long double k, long double nu);

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Effects: These functions compute the complete elliptic integral of the third kind of their respective argumentsk and nu.

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Returns: Π(ν,k), where Πis given by Formula 29.27,k is k, andν is nu.

Π(ν,k)=Π(ν,k,π/2) , for |k|≤1(29.27)

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See also [sf.cmath.ellint.3].