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Fungrim entry: cf5caa

RF ⁣(0,i,i)=(Γ ⁣(14))24πR_F\!\left(0, i, -i\right) = \frac{{\left(\Gamma\!\left(\frac{1}{4}\right)\right)}^{2}}{4 \sqrt{\pi}}
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
CarlsonRFRF ⁣(x,y,z)R_F\!\left(x, y, z\right) Carlson symmetric elliptic integral of the first kind
ConstIii Imaginary unit
Powab{a}^{b} Power
GammaΓ(z)\Gamma(z) Gamma function
Sqrtz\sqrt{z} Principal square root
Piπ\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))))))

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2021-03-15 19:12:00.328586 UTC