scipy.special.ellipk

scipy.special.ellipk(m) returns the complete integral of the first kind: integral(1/sqrt(1-m*sin(t)**2), t=0..pi/2)

This function is rather imprecise around m==1. For more precision around this point, use ellipkm1.

Previous topic

scipy.special.ellipj

Next topic

scipy.special.ellipkm1

This Page