TeX:
R_G\!\left(0, 1, 2\right) = \frac{{\left(\Gamma\!\left(\frac{1}{4}\right)\right)}^{2}}{8 \sqrt{2 \pi}} + \frac{{\pi}^{3 / 2}}{\sqrt{2} {\left(\Gamma\!\left(\frac{1}{4}\right)\right)}^{2}}Definitions:
| Fungrim symbol | Notation | Short description |
|---|---|---|
| CarlsonRG | Carlson symmetric elliptic integral of the second kind | |
| Pow | Power | |
| Gamma | Gamma function | |
| Sqrt | Principal square root | |
| Pi | The constant pi (3.14...) |
Source code for this entry:
Entry(ID("84f403"),
Formula(Equal(CarlsonRG(0, 1, 2), Add(Div(Pow(Gamma(Div(1, 4)), 2), Mul(8, Sqrt(Mul(2, Pi)))), Div(Pow(Pi, Div(3, 2)), Mul(Sqrt(2), Pow(Gamma(Div(1, 4)), 2)))))))