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celli3() double celli3 ( double  n, double  k  ) Complete elliptic integral of the third kind P(n, k) Purpose celli3 computes the Legendre form of complete elliptic integral of the third kind P(n, k). P(n, k) = P(π/2, n, k) where P(φ, n, k) is the incomplete elliptic integral of the third kind defined as follows: P(φ, n, k) = ∫ 1/((1 - n(sin(t))^2)sqrt(1 - k^2(sin(t))^2)) dt [0, φ] Returns Complete elliptic integral of the third kind P(n, k). Parameters [in] n Argument n. (n < 1) [in] k Argument k. (|k| < 1) Error handling If |k| > 1, domain error (EDOM) occurs. If n >= 1, domain error (EDOM) occurs. Range error (ERANGE) may occur. Reference boost/math/special_functions