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Dataplot: Elliptic Functions and Integrals

Introduction The following table lists the elliptic functions and integrals that are available in Dataplot. These are divided into the following categories:

Available Elliptic Integrals (Legendre Form)
Elliptic Integrals (Legendre Form)
ELLIPC1(X) complete elliptic integral of the first kind (Legendre form)
ELLIPC2(X) complete elliptic integral of the second kind (Legendre form)
ELLIP1(PHI,K) elliptic integral of the first kind (Legendre form)
ELLIP2(PHI,K) elliptic integral of the second kind (Legendre form)
ELLIP3(P,N,K) elliptic integral of the third kind (Legendre form)
Dataplot  / Dataplot Functions  / Elliptic Functions ]

Available Carlson Elliptic Integrals
Carlson's Elliptic Integrals
RC(X,Y) Carlson's degenerate elliptic integral
RD(X,Y,Z) Carlson's elliptic integral of the second kind
RF(X,Y,Z) Carlson's elliptic integral of the first kind
RJ(X,Y,Z,P) Carlson's elliptic integral of the third kind
Dataplot  / Dataplot Functions  / Elliptic Functions ]

Available Jacobian Elliptic Functions
Jacobian Elliptic Functions
SN(X,M) Jacobian elliptic sn function
CN(X,M) Jacobian elliptic cn function
DN(X,M) Jacobian elliptic dn function
Dataplot  / Dataplot Functions  / Elliptic Functions ]

Available Weierstrass Elliptic Functions
Weierstrass Elliptic Functions
PEQ(XR,XI) real component of Weierstrass elliptic function (equianharmomic case)
PEQI(XR,XI) complex component of Weierstrass elliptic function (equianharmomic case)
PEQ1(XR,XI) real component of first derivative of Weierstrass elliptic function (equianharmomic case)
PEQ1I(XR,XI) complex component of first derivative of Weierstrass elliptic function (equianharmomic case)
PLEM(XR,XI) real component of Weierstrass elliptic function (lemniscatic case)
PLEMI(XR,XI) complex component of Weierstrass elliptic function (lemniscatic case)
PLEM1(XR,XI) real component of first derivative of Weierstrass elliptic function (lemniscatic case)
PLEM1I(XR,XI) complex component of first derivative of Weierstrass elliptic function (lemniscatic case)
Dataplot  / Dataplot Functions  / Elliptic Functions ]

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Date created: 06/05/2001
Last updated: 09/20/2016

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