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Fungrim entry: ebaa1a

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

x \in \mathbb{C} \;\mathbin{\operatorname{and}}\; y \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
CarlsonRCRC ⁣(x,y)R_C\!\left(x, y\right) Degenerate Carlson symmetric elliptic integral of the first kind
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("ebaa1a"),
    Formula(Equal(CarlsonRF(x, x, y), CarlsonRC(y, x))),
    Variables(x, y),
    Assumptions(And(Element(x, CC), Element(y, CC))))

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2021-03-15 19:12:00.328586 UTC