A Jacobi Elliptic Functions and Integrals

AI Thread Summary
The discussion centers on finding resources that intuitively explain Jacobi Elliptic functions and their geometric interpretations related to ellipses. A web article was shared that connects points on an ellipse to a circle, which may aid in understanding these functions as generalizations of circular trigonometric functions. Participants are also seeking information on hyperbolic functions and their corresponding trigonometric parallels. A request was made for a specific PDF that is no longer accessible, highlighting the need for reliable resources. The Digital Library of Mathematical Functions was recommended as a starting point for information on special functions.
bamajon1974
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Are there any useful references or resources that intuitively show how Jacobi Elliptic functions [sn, cn, dn, etc] are geometrically interpreted from properties of ellipses? And how the Jacobi Elliptic functions and integrals can be shown to be generalizations of circular trig functions? Thanks!
 
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The first place I always look for info on special functions is the Digital Library of Mathematical Functions
https://dlmf.nist.gov/
It might not have everything you are looking for, but it does have some of it. Have you looked there?

Jason
 
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