[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);

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

Returns:

Π (ν, k), where Π is given by Formula 29.27, k is k, and ν is nu .

\begin{matrix} Π (ν, k) = Π (ν, k, π / 2), for | k | \leq 1 (29.27) \end{matrix}

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]