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Fungrim entry: 409873

RD ⁣(x,y,z)=RJ ⁣(x,y,z,z)R_D\!\left(x, y, z\right) = R_J\!\left(x, y, z, z\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_D\!\left(x, y, z\right) = R_J\!\left(x, y, z, z\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
CarlsonRDRD ⁣(x,y,z)R_D\!\left(x, y, z\right) Degenerate Carlson symmetric elliptic integral of the third kind
CarlsonRJRJ ⁣(x,y,z,w)R_J\!\left(x, y, z, w\right) Carlson symmetric elliptic integral of the third kind
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("409873"),
    Formula(Equal(CarlsonRD(x, y, z), CarlsonRJ(x, y, z, z))),
    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