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Fungrim entry: 21f412

agm(z)=agm ⁣(1,z)=agm ⁣(z,1)\operatorname{agm}(z) = \operatorname{agm}\!\left(1, z\right) = \operatorname{agm}\!\left(z, 1\right)
Assumptions:zCz \in \mathbb{C}
TeX:
\operatorname{agm}(z) = \operatorname{agm}\!\left(1, z\right) = \operatorname{agm}\!\left(z, 1\right)

z \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
AGMagm ⁣(a,b)\operatorname{agm}\!\left(a, b\right) Arithmetic-geometric mean
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("21f412"),
    Formula(Equal(AGM(z), AGM(1, z), AGM(z, 1))),
    Variables(z),
    Assumptions(Element(z, CC)))

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2021-03-15 19:12:00.328586 UTC