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Fungrim entry: 9b8c9f

η ⁣(i)=Γ ⁣(14)2π3/4\eta\!\left(i\right) = \frac{\Gamma\!\left(\frac{1}{4}\right)}{2 {\pi}^{3 / 4}}
TeX:
\eta\!\left(i\right) = \frac{\Gamma\!\left(\frac{1}{4}\right)}{2 {\pi}^{3 / 4}}
Definitions:
Fungrim symbol Notation Short description
DedekindEtaη ⁣(τ)\eta\!\left(\tau\right) Dedekind eta function
ConstIii Imaginary unit
GammaFunctionΓ ⁣(z)\Gamma\!\left(z\right) Gamma function
Powab{a}^{b} Power
ConstPiπ\pi The constant pi (3.14...)
Source code for this entry:
Entry(ID("9b8c9f"),
    Formula(Equal(DedekindEta(ConstI), Div(GammaFunction(Div(1, 4)), Mul(2, Pow(ConstPi, Div(3, 4)))))))

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

2019-08-19 14:38:23.809000 UTC