TeX:
R_J\!\left(1, -1, -1, -1\right) = -\frac{3}{4} - \frac{3 \sqrt{2} \log\!\left(1 + \sqrt{2}\right)}{8} + \frac{3 \sqrt{2} \pi i}{16}Definitions:
| Fungrim symbol | Notation | Short description |
|---|---|---|
| CarlsonRJ | Carlson symmetric elliptic integral of the third kind | |
| Sqrt | Principal square root | |
| Log | Natural logarithm | |
| Pi | The constant pi (3.14...) | |
| ConstI | Imaginary unit |
Source code for this entry:
Entry(ID("303827"),
Formula(Equal(CarlsonRJ(1, -1, -1, -1), Add(Sub(Neg(Div(3, 4)), Div(Mul(Mul(3, Sqrt(2)), Log(Add(1, Sqrt(2)))), 8)), Div(Mul(Mul(Mul(3, Sqrt(2)), Pi), ConstI), 16)))))