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Fungrim entry: ce66a9

G ⁣(14)=e3/32G/4πA9/8(Γ ⁣(14))3/4G\!\left(\frac{1}{4}\right) = \frac{{e}^{3 / 32 - G / 4 \pi}}{{A}^{9 / 8} {\left(\Gamma\!\left(\frac{1}{4}\right)\right)}^{3 / 4}}
TeX:
G\!\left(\frac{1}{4}\right) = \frac{{e}^{3 / 32 - G / 4 \pi}}{{A}^{9 / 8} {\left(\Gamma\!\left(\frac{1}{4}\right)\right)}^{3 / 4}}
Definitions:
Fungrim symbol Notation Short description
BarnesGG(z)G(z) Barnes G-function
Powab{a}^{b} Power
ConstEee The constant e (2.718...)
ConstCatalanGG Catalan's constant
Piπ\pi The constant pi (3.14...)
GammaΓ(z)\Gamma(z) Gamma function
Source code for this entry:
Entry(ID("ce66a9"),
    Formula(Equal(BarnesG(Div(1, 4)), Div(Pow(ConstE, Sub(Div(3, 32), Div(ConstCatalan, Mul(4, Pi)))), Mul(Pow(ConstGlaisher, Div(9, 8)), Pow(Gamma(Div(1, 4)), Div(3, 4)))))))

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2021-03-15 19:12:00.328586 UTC