TeX:
K(2) = \frac{{\left(\Gamma\!\left(\frac{1}{4}\right)\right)}^{2}}{4 \sqrt{2 \pi}} \left(1 - i\right)Definitions:
| Fungrim symbol | Notation | Short description |
|---|---|---|
| EllipticK | Legendre complete elliptic integral of the first kind | |
| Pow | Power | |
| Gamma | Gamma function | |
| Sqrt | Principal square root | |
| Pi | The constant pi (3.14...) | |
| ConstI | Imaginary unit |
Source code for this entry:
Entry(ID("630eca"),
Formula(Equal(EllipticK(2), Mul(Div(Pow(Gamma(Div(1, 4)), 2), Mul(4, Sqrt(Mul(2, Pi)))), Sub(1, ConstI)))))