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Elliptic Integrals and Jacobi's Zeta Function.

version (2.92 KB) by Moiseev Igor
Elliptic function evaluation using AGM algorithm.


Updated 1 Jun 2009

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Elliptici uses the method of the arithmetic - geometric mean described determine the value of the Incomplete Elliptic Integrals of the First, Second Kind and Jacobi's Zeta Function. The formulas implemented are F(u,m) = int(1/sqrt(1-m*sin(t)^2),
t=0..u); E(u,m) = int(sqrt(1-m*sin(t)^2), t=0..u); Z(u,m) = E(u,m) - E(m)/K(m)*F(u,m)

The routine Elliptici works with multidimentional arrays and any range of u.

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Cite As

Moiseev Igor (2022). Elliptic Integrals and Jacobi's Zeta Function. (, MATLAB Central File Exchange. Retrieved .

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

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