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Fungrim entry: 5c6f10

RJ ⁣(x,x,x,w)=RD ⁣(w,w,x)R_J\!\left(x, x, x, w\right) = R_D\!\left(w, w, x\right)
Assumptions:xC  and  wCx \in \mathbb{C} \;\mathbin{\operatorname{and}}\; w \in \mathbb{C}
TeX:
R_J\!\left(x, x, x, w\right) = R_D\!\left(w, w, x\right)

x \in \mathbb{C} \;\mathbin{\operatorname{and}}\; w \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
CarlsonRJRJ ⁣(x,y,z,w)R_J\!\left(x, y, z, w\right) Carlson symmetric elliptic integral of the third kind
CarlsonRDRD ⁣(x,y,z)R_D\!\left(x, y, z\right) Degenerate Carlson symmetric elliptic integral of the third kind
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("5c6f10"),
    Formula(Equal(CarlsonRJ(x, x, x, w), CarlsonRD(w, w, x))),
    Variables(x, w),
    Assumptions(And(Element(x, CC), Element(w, CC))))

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2021-03-15 19:12:00.328586 UTC