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Fungrim entry: 70a705

γ1 ⁣(12)=γ12γlog(2)log2 ⁣(2)\gamma_{1}\!\left(\frac{1}{2}\right) = \gamma_{1} - 2 \gamma \log(2) - \log^{2}\!\left(2\right)
TeX:
\gamma_{1}\!\left(\frac{1}{2}\right) = \gamma_{1} - 2 \gamma \log(2) - \log^{2}\!\left(2\right)
Definitions:
Fungrim symbol Notation Short description
StieltjesGammaγn ⁣(a)\gamma_{n}\!\left(a\right) Stieltjes constant
ConstGammaγ\gamma The constant gamma (0.577...)
Loglog(z)\log(z) Natural logarithm
Powab{a}^{b} Power
Source code for this entry:
Entry(ID("70a705"),
    Formula(Equal(StieltjesGamma(1, Div(1, 2)), Sub(Sub(StieltjesGamma(1), Mul(Mul(2, ConstGamma), Log(2))), Pow(Log(2), 2)))))

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2021-03-15 19:12:00.328586 UTC