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Fungrim entry: 2a0316

π=2 2F1 ⁣(−12,−12,12,1)\pi = 2 \,{}_2F_1\!\left(-\frac{1}{2}, -\frac{1}{2}, \frac{1}{2}, 1\right)
TeX:
\pi = 2 \,{}_2F_1\!\left(-\frac{1}{2}, -\frac{1}{2}, \frac{1}{2}, 1\right)
Definitions:
Fungrim symbol Notation Short description
Piπ\pi The constant pi (3.14...)
Hypergeometric2F1 2F1 ⁣(a,b,c,z)\,{}_2F_1\!\left(a, b, c, z\right) Gauss hypergeometric function
Source code for this entry:
Entry(ID("2a0316"),
    Formula(Equal(Pi, Mul(2, Hypergeometric2F1(Neg(Div(1, 2)), Neg(Div(1, 2)), Div(1, 2), 1)))))

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2021-03-15 19:12:00.328586 UTC