C14. Elliptic Integrals

Functions
Function	Celli1 (K As Double, Optional Info As Long) As Double
	Complete elliptic integral of the first kind K(k)
Function	Celli2 (K As Double, Optional Info As Long) As Double
	Complete elliptic integral of the second kind E(k)
Function	Celli3 (N As Double, K As Double, Optional Info As Long) As Double
	Complete elliptic integral of the third kind P(n, k)
Function	Elli1 (Phi As Double, K As Double, Optional Info As Long) As Double
	Incomplete elliptic integral of the first kind F(φ, k)
Function	Elli2 (Phi As Double, K As Double, Optional Info As Long) As Double
	Incomplete elliptic integral of the second kind E(φ, k)
Function	Elli3 (Phi As Double, N As Double, K As Double, Optional Info As Long) As Double
	Incomplete elliptic integral of the third kind P(φ, n, k)
Function	Hlambda (Phi As Double, K As Double, Optional Info As Long) As Double
	Heuman lambda function Λ0(φ, k)
Function	Jzeta (Phi As Double, K As Double, Optional Info As Long) As Double
	Jacobi zeta function Z(φ, k)
Function	Rc (X As Double, Y As Double, Optional Info As Long) As Double
	Carlson form of elliptic integral RC(x, y)
Function	Rd (X As Double, Y As Double, Z As Double, Optional Info As Long) As Double
	Carlson form of elliptic integral RD(x, y, z)
Function	Rf (X As Double, Y As Double, Z As Double, Optional Info As Long) As Double
	Carlson form of elliptic integral RF(x, y, z)
Function	Rg (X As Double, Y As Double, Z As Double, Optional Info As Long) As Double
	Carlson form of elliptic integral RG(x, y, z)
Function	Rj (X As Double, Y As Double, Z As Double, P As Double, Optional Info As Long) As Double
	Carlson form of elliptic integral RJ(x, y, z, p)
Sub	Celli1_sub (Ret As Double, K As Double, Optional Info As Long)
	Complete elliptic integral of the first kind K(k) (Subroutine version)
Sub	Celli2_sub (Ret As Double, K As Double, Optional Info As Long)
	Complete elliptic integral of the second kind E(k) (Subroutine version)
Sub	Celli3_sub (Ret As Double, N As Double, K As Double, Optional Info As Long)
	Complete elliptic integral of the third kind P(n, k) (Subroutine version)
Sub	Elli1_sub (Ret As Double, Phi As Double, K As Double, Optional Info As Long)
	Incomplete elliptic integral of the first kind F(φ, k) (Subroutine version)
Sub	Elli2_sub (Ret As Double, Phi As Double, K As Double, Optional Info As Long)
	Incomplete elliptic integral of the second kind E(φ, k) (Subroutine version)
Sub	Elli3_sub (Ret As Double, Phi As Double, N As Double, K As Double, Optional Info As Long)
	Incomplete elliptic integral of the third kind P(φ, n, k) (Subroutine version)
Sub	Hlambda_sub (Ret As Double, Phi As Double, K As Double, Optional Info As Long)
	Heuman lambda function Λ0(φ, k) (Subroutine version)
Sub	Jzeta_sub (Ret As Double, Phi As Double, K As Double, Optional Info As Long)
	Jacobi zeta function Z(φ, k) (Subroutine version)
Sub	Rc_sub (Ret As Double, X As Double, Y As Double, Optional Info As Long)
	Carlson form of elliptic integral RC(x, y) (Subroutine version)
Sub	Rd_sub (Ret As Double, X As Double, Y As Double, Z As Double, Optional Info As Long)
	Carlson form of elliptic integral RD(x, y, z) (Subroutine version)
Sub	Rf_sub (Ret As Double, X As Double, Y As Double, Z As Double, Optional Info As Long)
	Carlson form of elliptic integral RF(x, y, z) (Subroutine version)
Sub	Rg_sub (Ret As Double, X As Double, Y As Double, Z As Double, Optional Info As Long)
	Carlson form of elliptic integral RG(x, y, z) (Subroutine version)
Sub	Rj_sub (Ret As Double, 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) (Subroutine version)

Detailed Description

This is the group of C14. Elliptic Integrals.