Fungrim entry: dc507f

$G\!\left(\frac{3}{4}\right) = \frac{{e}^{3 / 32 + G / 4 \pi} {\left(\Gamma\!\left(\frac{1}{4}\right)\right)}^{1 / 4}}{{2}^{1 / 8} {\pi}^{1 / 4} {A}^{9 / 8}}$
TeX:
G\!\left(\frac{3}{4}\right) = \frac{{e}^{3 / 32 + G / 4 \pi} {\left(\Gamma\!\left(\frac{1}{4}\right)\right)}^{1 / 4}}{{2}^{1 / 8} {\pi}^{1 / 4} {A}^{9 / 8}}
Definitions:
Fungrim symbol Notation Short description
BarnesG$G(z)$ Barnes G-function
Pow${a}^{b}$ Power
ConstE$e$ The constant e (2.718...)
ConstCatalan$G$ Catalan's constant
Pi$\pi$ The constant pi (3.14...)
Gamma$\Gamma(z)$ Gamma function
Source code for this entry:
Entry(ID("dc507f"),
Formula(Equal(BarnesG(Div(3, 4)), Div(Mul(Pow(ConstE, Add(Div(3, 32), Div(ConstCatalan, Mul(4, Pi)))), Pow(Gamma(Div(1, 4)), Div(1, 4))), Mul(Mul(Pow(2, Div(1, 8)), Pow(Pi, Div(1, 4))), Pow(ConstGlaisher, Div(9, 8)))))))

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2021-03-15 19:12:00.328586 UTC