WCelli1 WCelli2 WCelli3 WElli1 WElli2 WElli3 WHlambda WJzeta WRc WRd WRf WRg WRj

WElli3() Function WElli3 ( Phi As  Double, N As  Double, K As  Double  ) Incomplete elliptic integral of the third kind P(φ, n, k) Purpose WElli3 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 Complete elliptic integral of the third kind P(φ, n, k). On error (K < -1, K > 1, overflow occurred): #NUM! Parameters [in] Phi Argument φ [rad]. [in] N Argument n. (N < 1/sin(Phi)^2 (N < 1 if |Phi| > π/2)) [in] K Argument k. (K^2*sin(Phi)^2 < 1 (|K| < 1 if |Phi| > π/2)) Reference boost/math/special_functions