celli1 celli2 celli3

celli3() def celli3 ( n  , 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)\n 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 float Complete elliptic integral of the third kind P(n, k). Parameters [in] n Argument n. (n < 1) [in] k Argument k. (-1 < k < 1) Error handling If |k| > 1, domain error (EDOM) occurs. Range error (ERANGE) may occur. Reference boost/math/special_functions