Elliptic Integrals and Jacobi's Zeta Function.
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.
Project home: http://code.google.com/p/elliptic/
Cite As
Moiseev Igor (2024). Elliptic Integrals and Jacobi's Zeta Function. (https://www.mathworks.com/matlabcentral/fileexchange/7123-elliptic-integrals-and-jacobi-s-zeta-function), MATLAB Central File Exchange. Retrieved .
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