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Fungrim entry: ace837

F ⁣(π2,1)=(Γ ⁣(14))242πF\!\left(\frac{\pi}{2}, -1\right) = \frac{{\left(\Gamma\!\left(\frac{1}{4}\right)\right)}^{2}}{4 \sqrt{2 \pi}}
TeX:
F\!\left(\frac{\pi}{2}, -1\right) = \frac{{\left(\Gamma\!\left(\frac{1}{4}\right)\right)}^{2}}{4 \sqrt{2 \pi}}
Definitions:
Fungrim symbol Notation Short description
IncompleteEllipticFF ⁣(ϕ,m)F\!\left(\phi, m\right) Legendre incomplete elliptic integral of the first kind
Piπ\pi The constant pi (3.14...)
Powab{a}^{b} Power
GammaΓ(z)\Gamma(z) Gamma function
Sqrtz\sqrt{z} Principal square root
Source code for this entry:
Entry(ID("ace837"),
    Formula(Equal(IncompleteEllipticF(Div(Pi, 2), -1), Div(Pow(Gamma(Div(1, 4)), 2), Mul(4, Sqrt(Mul(2, Pi)))))))

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2021-03-15 19:12:00.328586 UTC