Grim reference (alpha)

AGM

Input: AGM(x, y)
$$\operatorname{agm}\!\left(x, y\right)$$

Arithmetic-geometric mean.

Symbolic evaluation examples

Input: AGM(1, 3 + 2*Sqrt(2))
$$\operatorname{agm}\!\left(1, 3 + 2 \sqrt{2}\right)$$
Output: Div(Mul(Add(4, Mul(2, Sqrt(2))), Pow(Pi, Div(3, 2))), Pow(Gamma(Div(1, 4)), 2))   (evaluated by pygrim in 0.0599 s)
$$\frac{\left(4 + 2 \sqrt{2}\right) {\pi}^{3 / 2}}{{\left(\Gamma\!\left(\frac{1}{4}\right)\right)}^{2}}$$

Last updated: 2020-03-06 00:22:16