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Elliptic Integrals and Functions

version 1.1.0.0 (15.2 KB) by Moiseev Igor
Elliptic function evaluation using AGM algorithm.

3.3K Downloads

Updated 20 Jun 2009

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agm.m - function AGM calculates the Artihmetic Geometric Mean of A and B.

ellipj.m - function ELLIPJ Jacobi elliptic functions and Jacobi's amplitude (modified standard method, resolves problem with convergence).

ellipji.m - function ELLIPJI Jacobi elliptic functions of complex phase u.

elliptic12.m - function ELLIPTIC12 evaluates the value of the Incomplete Elliptic Integrals of the First, Second Kind and Jacobi's Zeta Function.

elliptic12i.m - function ELLIPTIC12i evaluates the Incomplete Elliptic Integrals of the First, Second Kind and Jacobi's Zeta Function for the complex value of phase U.

elliptic3.m - function ELLIPTIC3 evaluates incomplete elliptic integral of the third kind.

inversenomeq.m - function INVERSENOMEQ gives the value of Nome m = m(q).

jacobiThetaEta.m - function JACOBITHETAETA evaluates Jacobi's theta and eta functions.

nomeq.m - function NOMEQ gives the value of Nome q = q(m).

theta.m - THETA evaluates theta functions of four types.

Cite As

Moiseev Igor (2022). Elliptic Integrals and Functions (https://www.mathworks.com/matlabcentral/fileexchange/8805-elliptic-integrals-and-functions), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R14SP1
Compatible with any release
Platform Compatibility
Windows macOS Linux

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