TeX:
K(-1) = \frac{{\left(\Gamma\!\left(\frac{1}{4}\right)\right)}^{2}}{4 \sqrt{2 \pi}}
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...) |
Source code for this entry:
Entry(ID("afb22a"), Formula(Equal(EllipticK(-1), Div(Pow(Gamma(Div(1, 4)), 2), Mul(4, Sqrt(Mul(2, Pi)))))))