TeX:
R_F\!\left(0, i, -i\right) = \frac{{\left(\Gamma\!\left(\frac{1}{4}\right)\right)}^{2}}{4 \sqrt{\pi}}
Definitions:
Fungrim symbol | Notation | Short description |
---|---|---|
CarlsonRF | Carlson symmetric elliptic integral of the first kind | |
ConstI | Imaginary unit | |
Pow | Power | |
Gamma | Gamma function | |
Sqrt | Principal square root | |
Pi | The constant pi (3.14...) |
Source code for this entry:
Entry(ID("cf5caa"), Formula(Equal(CarlsonRF(0, ConstI, Neg(ConstI)), Div(Pow(Gamma(Div(1, 4)), 2), Mul(4, Sqrt(Pi))))))