TeX:
\pi = 4 \left(\sqrt{2} \,{}_2F_1\!\left(-\frac{1}{2}, -\frac{1}{2}, \frac{1}{2}, \frac{1}{2}\right) - 1\right)Definitions:
| Fungrim symbol | Notation | Short description |
|---|---|---|
| Pi | The constant pi (3.14...) | |
| Sqrt | Principal square root | |
| Hypergeometric2F1 | Gauss hypergeometric function |
Source code for this entry:
Entry(ID("488a30"),
Formula(Equal(Pi, Mul(4, Sub(Mul(Sqrt(2), Hypergeometric2F1(Neg(Div(1, 2)), Neg(Div(1, 2)), Div(1, 2), Div(1, 2))), 1)))))