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Fungrim entry: f29729

RF ⁣(x,y,z)=RF ⁣(x,z,y)=RF ⁣(y,x,z)=RF ⁣(y,z,x)=RF ⁣(z,x,y)=RF ⁣(z,y,x)R_F\!\left(x, y, z\right) = R_F\!\left(x, z, y\right) = R_F\!\left(y, x, z\right) = R_F\!\left(y, z, x\right) = R_F\!\left(z, x, y\right) = R_F\!\left(z, y, x\right)
Assumptions:xC  and  yC  and  zCx \in \mathbb{C} \;\mathbin{\operatorname{and}}\; y \in \mathbb{C} \;\mathbin{\operatorname{and}}\; z \in \mathbb{C}
TeX:
R_F\!\left(x, y, z\right) = R_F\!\left(x, z, y\right) = R_F\!\left(y, x, z\right) = R_F\!\left(y, z, x\right) = R_F\!\left(z, x, y\right) = R_F\!\left(z, y, x\right)

x \in \mathbb{C} \;\mathbin{\operatorname{and}}\; y \in \mathbb{C} \;\mathbin{\operatorname{and}}\; z \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
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("f29729"),
    Formula(Equal(CarlsonRF(x, y, z), CarlsonRF(x, z, y), CarlsonRF(y, x, z), CarlsonRF(y, z, x), CarlsonRF(z, x, y), CarlsonRF(z, y, x))),
    Variables(x, y, z),
    Assumptions(And(Element(x, CC), Element(y, CC), Element(z, CC))))

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2021-03-15 19:12:00.328586 UTC