When doing a problem on a pendulum undergoing elliptical motion, I came across(adsbygoogle = window.adsbygoogle || []).push({}); sn(z), which is apparently a "Jacobi Elliptic Function". When I looked into it further, I saw that these functions are essentially circular trigonometric functions but about an ellipse instead of a perfect circle. Can someone give me a more strict definition of each of the elliptic functions? Thanks.

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# I Jacobi Elliptic Functions

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