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Fungrim entry: 826257

π=3(922F1 ⁣(1,1,12,14)6)\pi = \sqrt{3} \left(\frac{9}{2} \,{}_2F_1\!\left(1, 1, \frac{1}{2}, \frac{1}{4}\right) - 6\right)
TeX:
\pi = \sqrt{3} \left(\frac{9}{2} \,{}_2F_1\!\left(1, 1, \frac{1}{2}, \frac{1}{4}\right) - 6\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("826257"),
    Formula(Equal(Pi, Mul(Sqrt(3), Sub(Mul(Div(9, 2), Hypergeometric2F1(1, 1, Div(1, 2), Div(1, 4))), 6)))))

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2021-03-15 19:12:00.328586 UTC