Dataplot: Elliptic Functions and Integrals
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Introduction
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The following table lists the elliptic functions and integrals
that are available in Dataplot. These are divided into the
following categories:
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Available Elliptic Integrals (Legendre Form)
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Elliptic Integrals (Legendre Form)
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ELLIPC1(X)
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complete elliptic integral of the first kind
(Legendre form)
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ELLIPC2(X)
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complete elliptic integral of the second kind (Legendre form)
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ELLIP1(PHI,K)
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elliptic integral of the first kind (Legendre form)
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ELLIP2(PHI,K)
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elliptic integral of the second kind (Legendre form)
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ELLIP3(P,N,K)
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elliptic integral of the third kind (Legendre form)
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[ Dataplot /
Dataplot Functions /
Elliptic Functions ]
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Available Carlson Elliptic Integrals
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Carlson's Elliptic Integrals
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RC(X,Y)
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Carlson's degenerate elliptic integral
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RD(X,Y,Z)
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Carlson's elliptic integral of the second kind
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RF(X,Y,Z)
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Carlson's elliptic integral of the first kind
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RJ(X,Y,Z,P)
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Carlson's elliptic integral of the third kind
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[ Dataplot /
Dataplot Functions /
Elliptic Functions ]
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Available Jacobian Elliptic Functions
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Jacobian Elliptic Functions
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SN(X,M)
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Jacobian elliptic sn function
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CN(X,M)
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Jacobian elliptic cn function
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DN(X,M)
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Jacobian elliptic dn function
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[ Dataplot /
Dataplot Functions /
Elliptic Functions ]
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Available Weierstrass Elliptic Functions
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Weierstrass Elliptic Functions
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PEQ(XR,XI)
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real component of Weierstrass elliptic function
(equianharmomic case)
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PEQI(XR,XI)
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complex component of Weierstrass elliptic function
(equianharmomic case)
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PEQ1(XR,XI)
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real component of first derivative of Weierstrass elliptic
function (equianharmomic case)
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PEQ1I(XR,XI)
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complex component of first derivative of Weierstrass elliptic
function (equianharmomic case)
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PLEM(XR,XI)
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real component of Weierstrass elliptic function
(lemniscatic case)
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PLEMI(XR,XI)
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complex component of Weierstrass elliptic function
(lemniscatic case)
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PLEM1(XR,XI)
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real component of first derivative of Weierstrass elliptic
function (lemniscatic case)
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PLEM1I(XR,XI)
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complex component of first derivative of Weierstrass elliptic
function (lemniscatic case)
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[ Dataplot /
Dataplot Functions /
Elliptic Functions ]
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Date created: 06/05/2001
Last updated: 09/20/2016
Please email comments on this WWW page to
alan.heckert@nist.gov.
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