where are Jacobi theta functions. This transformation was used by Gauss to show that elliptic integrals could be computed using the arithmetic-geometric mean.

# Landen's Formula

## See also

Jacobi Theta Functions## Explore with Wolfram|Alpha

## Cite this as:

Weisstein, Eric W. "Landen's Formula."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/LandensFormula.html