celli1 celli2 celli3

celli1() function celli1 ( k::Real  ) Complete elliptic integral of the first kind K(k) Purpose celli1 computes the Legendre form of complete elliptic integral of the first kind K(k). K(k) = F(π/2, k) where F(φ, k) is the incomplete elliptic integral of the first kind defined as follows. F(φ, k) = ∫ 1/sqrt(1 - k^2(sin(t))^2) dt [0, φ] Returns Float64 Complete elliptic integral of the first kind K(k). Parameters [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