Celli1 Celli2 Celli3 Elli1 Elli2 Elli3 Jzeta Rc Rd Rf Rg Rj

Elli3() Function Elli3 ( Phi As  Double, N As  Double, K As  Double, Optional Info As  Long  ) Incomplete elliptic integral of the third kind P(φ, n, k) Purpose This routine computes the Legendre form of incomplete elliptic integral of the third kind P(φ, n, k). P(φ, n, k) = ∫ 1/((1 - n(sin(t))^2)sqrt(1 - k^2(sin(t))^2)) dt [0, φ] Returns Double Complete elliptic integral of the third kind P(φ, n, k). Parameters [in] Phi Argument φ [rad]. [in] N Argument n. (N < 1/sin(Phi)^2) [in] K Argument k. (K^2*sin(Phi)^2 < 1 (if |Phi| > π/2, |K| < 1)) [out] Info (Optional) = 0: Successful exit. = -2: The argument N had an illegal value. (N >= 1/sin(Phi)^2) = -3: The argument K had an illegal value. (K^2*sin(Phi)^2 >= 1 (|K| >= 1 if |Phi| > π/2)) = 1: Floating point range error. Reference boost/math/special_functions