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[sf.cmath.ellint.2]

29 Numerics library [numerics]

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

29.7.6 Mathematical special functions [sf.cmath]

29.7.6.13 Incomplete elliptic integral of the second kind [sf.cmath.ellint.2]

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floating-point-type ellint_2(floating-point-type k, floating-point-type phi); float ellint_2f(float k, float phi); long double ellint_2l(long double k, long double phi);

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

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Returns: E(k, φ), where E is given by Formula 29.33,k is k, andφ is phi.

E(k,ϕ)=∫ϕˆšˆ’k2sin2θ¸Â , for |k|≤1(29.33)