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Fungrim entry: 68b73d

1π=2392F1 ⁣(13,13,1,1)\frac{1}{\pi} = \frac{2 \sqrt{3}}{9} \,{}_2F_1\!\left(-\frac{1}{3}, \frac{1}{3}, 1, 1\right)
TeX:
\frac{1}{\pi} = \frac{2 \sqrt{3}}{9} \,{}_2F_1\!\left(-\frac{1}{3}, \frac{1}{3}, 1, 1\right)
Definitions:
Fungrim symbol Notation Short description
Piπ\pi The constant pi (3.14...)
Sqrtz\sqrt{z} Principal square root
Hypergeometric2F12F1 ⁣(a,b,c,z)\,{}_2F_1\!\left(a, b, c, z\right) Gauss hypergeometric function
Source code for this entry:
Entry(ID("68b73d"),
    Formula(Equal(Div(1, Pi), Mul(Div(Mul(2, Sqrt(3)), 9), Hypergeometric2F1(Neg(Div(1, 3)), Div(1, 3), 1, 1)))))

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2021-03-15 19:12:00.328586 UTC