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Fungrim entry: 72b5bd

RC ⁣(1,x)= 2F1 ⁣(1,12,32,1−x)R_C\!\left(1, x\right) = \,{}_2F_1\!\left(1, \frac{1}{2}, \frac{3}{2}, 1 - x\right)
Assumptions:x∈Cx \in \mathbb{C}
TeX:
R_C\!\left(1, x\right) = \,{}_2F_1\!\left(1, \frac{1}{2}, \frac{3}{2}, 1 - x\right)

x \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
CarlsonRCRC ⁣(x,y)R_C\!\left(x, y\right) Degenerate Carlson symmetric elliptic integral of the first kind
Hypergeometric2F1 2F1 ⁣(a,b,c,z)\,{}_2F_1\!\left(a, b, c, z\right) Gauss hypergeometric function
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("72b5bd"),
    Formula(Equal(CarlsonRC(1, x), Hypergeometric2F1(1, Div(1, 2), Div(3, 2), Sub(1, x)))),
    Variables(x),
    Assumptions(Element(x, CC)))

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2021-03-15 19:12:00.328586 UTC