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Fungrim entry: 3f6d40

RG ⁣(0,1,x)=E ⁣(1−x)2R_G\!\left(0, 1, x\right) = \frac{E\!\left(1 - x\right)}{2}
Assumptions:x∈Cx \in \mathbb{C}
TeX:
R_G\!\left(0, 1, x\right) = \frac{E\!\left(1 - x\right)}{2}

x \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
CarlsonRGRG ⁣(x,y,z)R_G\!\left(x, y, z\right) Carlson symmetric elliptic integral of the second kind
EllipticEE(m)E(m) Legendre complete elliptic integral of the second kind
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("3f6d40"),
    Formula(Equal(CarlsonRG(0, 1, x), Div(EllipticE(Sub(1, x)), 2))),
    Variables(x),
    Assumptions(Element(x, CC)))

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2021-03-15 19:12:00.328586 UTC