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Fungrim entry: 53d869

RF ⁣(0,1,x)=K ⁣(1x)R_F\!\left(0, 1, x\right) = K\!\left(1 - x\right)
Assumptions:xCx \in \mathbb{C}
TeX:
R_F\!\left(0, 1, x\right) = K\!\left(1 - x\right)

x \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
CarlsonRFRF ⁣(x,y,z)R_F\!\left(x, y, z\right) Carlson symmetric elliptic integral of the first kind
EllipticKK(m)K(m) Legendre complete elliptic integral of the first kind
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("53d869"),
    Formula(Equal(CarlsonRF(0, 1, x), EllipticK(Sub(1, x)))),
    Variables(x),
    Assumptions(Element(x, CC)))

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2021-03-15 19:12:00.328586 UTC