1.2 KiB
1.2 KiB
[sf.cmath.ellint.3]
29 Numerics library [numerics]
29.7 Mathematical functions for floating-point types [c.math]
29.7.6 Mathematical special functions [sf.cmath]
29.7.6.14 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: Î (ν,k,Ï), where Î is given by Formula 29.34,ν is nu,k is k, andÏ is phi.
Î (ν,k,Ï)=â«Ï0dθ(1âνsin2θ)â1âk2sin2θ , for |k|â¤1(29.34)