[sf.cmath.ellint.3] (original) (raw)

29 Numerics library [numerics]

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

29.7.6 Mathematical special functions [sf.cmath]

29.7.6.14 Incomplete elliptic integral of the third kind [sf.cmath.ellint.3]

_floating-point-type_ ellint_3(_floating-point-type_ k, _floating-point-type_ nu,_floating-point-type_ phi);float ellint_3f(float k, float nu, float phi);long double ellint_3l(long double k, long double nu, long double phi);

Effects: These functions compute the incomplete elliptic integral of the third kind of their respective argumentsk, nu, and phi (phi measured in radians).

Returns: , where Π is given by Formula 29.34,ν is nu,k is k, andφ is phi.