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Fungrim entry: 3d276b

π=122F1 ⁣(12,12,12,14)63\pi = 12 \,{}_2F_1\!\left(-\frac{1}{2}, -\frac{1}{2}, \frac{1}{2}, \frac{1}{4}\right) - 6 \sqrt{3}
TeX:
\pi = 12 \,{}_2F_1\!\left(-\frac{1}{2}, -\frac{1}{2}, \frac{1}{2}, \frac{1}{4}\right) - 6 \sqrt{3}
Definitions:
Fungrim symbol Notation Short description
Piπ\pi The constant pi (3.14...)
Hypergeometric2F12F1 ⁣(a,b,c,z)\,{}_2F_1\!\left(a, b, c, z\right) Gauss hypergeometric function
Sqrtz\sqrt{z} Principal square root
Source code for this entry:
Entry(ID("3d276b"),
    Formula(Equal(Pi, Sub(Mul(12, Hypergeometric2F1(Neg(Div(1, 2)), Neg(Div(1, 2)), Div(1, 2), Div(1, 4))), Mul(6, Sqrt(3))))))

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2021-03-15 19:12:00.328586 UTC