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

Rj() Function Rj ( X As  Double, Y As  Double, Z As  Double, P As  Double, Optional Info As  Long  ) Carlson form of elliptic integral RJ(x, y, z, p) Purpose Computes the Carlson form of elliptic integral RJ(x, y, z, p). RJ(x, y, z, p) = (3/2) * ∫(t + x)^(-1/2)(t + y)^(-1/2)(t + z)^(-1/2)(t + p)^(-1)dt [0, ∞] For negative fourth argument p, the principal value will be computed. Returns Double Carlson form of elliptic integral RJ(x, y, z, p). Parameters [in] X Argument x. (X >= 0 (one of X, Y and Z may be zero)) [in] Y Argument y. (Y >= 0 (one of X, Y and Z may be zero)) [in] Z Argument z. (Z >= 0 (one of X, Y and Z may be zero)) [in] P Argument p. (P <> 0) [out] Info (Optional) = 0: Successful exit. = -1: The argument X had an illegal value. (X < 0) = -2: The argument Y had an illegal value. (Y < 0) = -3: The argument Z had an illegal value. (Z < 0 or more than two out of X, Y and Z are 0) = -4: The argument P had an illegal value. (P = 0) = 1: Floating point range error. Reference boost/math/special_functions