Clarifying Ways of Defining Jacobi Elliptic Functions Using Mathematica and SciPy

Posted on October 19, 2018

The Jacobi elliptic functions sn and cn are analogous to the trigonometric functions sine and cosine. They come up in applications such as nonlinear oscillations and conformal mapping. Unfortunately, there are multiple conventions for defining these functions. The purpose of this post is to clear up the confusion around these different conventions.

The image above is a plot of the function sn [1].

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