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Fungrim entry: a54fb0

G'(2) = \frac{\log\!\left(2 \pi\right) - 1}{2} - \gamma

TeX:

G'(2) = \frac{\log\!\left(2 \pi\right) - 1}{2} - \gamma

Definitions:

Fungrim symbol	Notation	Short description
`ComplexDerivative`	$\frac{d}{d z}\, f\!\left(z\right)$	Complex derivative
`BarnesG`	$G(z)$	Barnes G-function
`Log`	$\log(z)$	Natural logarithm
`Pi`	$\pi$	The constant pi (3.14...)
`ConstGamma`	$\gamma$	The constant gamma (0.577...)

Source code for this entry:

Entry(ID("a54fb0"),
    Formula(Equal(ComplexDerivative(BarnesG(z), For(z, 2)), Sub(Div(Sub(Log(Mul(2, Pi)), 1), 2), ConstGamma))))

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