Maths Elliptic Function

Calculate the elliptic functions and elliptic amplitude (sn, cn, dn and am).

Elliptic functions are calculated for an ellipse of the form

`x^2 + (y / b)^2 = 1 `
`k = √(1 - 1 / b^2) `

where :

k = the elliptic k modulus

For a circle k = 0. k tends to 1 as b tends to infinity. Use the Result Plot option to plot the elliptic functions versus the k modulus.

Reference : Numerical Recipes, The Art Of Scientific Computing, Press, Teukolsky, Vetterling, Flannery, Cambridge University Press

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