Celli1 Celli1_sub Celli2 Celli2_sub Celli3 Celli3_sub Elli1 Elli1_sub Elli2 Elli2_sub Elli3 Elli3_sub Hlambda Hlambda_sub Jzeta Jzeta_sub Rc Rc_sub Rd Rd_sub Rf Rf_sub Rg Rg_sub Rj Rj_sub

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 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