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elli2() double elli2 ( double  phi, double  k  ) Incomplete elliptic integral of the second kind E(phi, k) Purpose elli2 computes the Legendre form of incomplete elliptic integral of the second kind E(φ, k). E(φ, k) = ∫ sqrt(1 - k^2(sin(t))^2) dt [0, φ] Returns Incomplete elliptic integral of the second kind E(φ, k). Parameters [in] phi Argument φ [rad]. [in] k Argument k. (k^2*sin(phi)^2 <= 1 (if |phi| > π/2, |k| <= 1)) Error handling If k^2*sin(phi)^2 > 1 (|k| > 1 if |phi| > π/2), domain error (EDOM) occurs. Range error (ERANGE) may occur. Reference boost/math/special_functions