Elliptic.jl icon indicating copy to clipboard operation
Elliptic.jl copied to clipboard

Published 20 hours ago • verified publisher icon nolta

Extending the range of m to be greater than unity and negative

Open roiholtzman opened this issue 4 years ago • 0 comments

I have seen that the complete elliptic integrals were extended for negative range which is great. Can the non complete elliptic integral be extended as well?

In page 593, in the book by Abramowitz and Stegun equations 17.4.15 and on give the formulas.

I did not see there a formula for the Jacobi amplitude, but it can be derived from the relations 17.4.15 and on.

roiholtzman avatar Apr 08 '20 19:04 roiholtzman