Fungrim entry: 8b7991

G\!\left(\frac{1}{2}\right) = \frac{{2}^{1 / 24} {e}^{1 / 8}}{{\pi}^{1 / 4} {A}^{3 / 2}}

TeX:

G\!\left(\frac{1}{2}\right) = \frac{{2}^{1 / 24} {e}^{1 / 8}}{{\pi}^{1 / 4} {A}^{3 / 2}}

Definitions:

Fungrim symbol	Notation	Short description
`BarnesG`	$G(z)$	Barnes G-function
`Pow`	${a}^{b}$	Power
`Exp`	${e}^{z}$	Exponential function
`Pi`	$\pi$	The constant pi (3.14...)

Source code for this entry:

Entry(ID("8b7991"),
    Formula(Equal(BarnesG(Div(1, 2)), Div(Mul(Pow(2, Div(1, 24)), Exp(Div(1, 8))), Mul(Pow(Pi, Div(1, 4)), Pow(ConstGlaisher, Div(3, 2)))))))

Topics using this entry

Barnes G-function

Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2021-03-15 19:12:00.328586 UTC