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Fungrim entry: 79d6ba

γ=limz0[Γ ⁣(z)1z]\gamma = -\lim_{z \to 0} \left[\Gamma\!\left(z\right) - \frac{1}{z}\right]
TeX:
\gamma = -\lim_{z \to 0} \left[\Gamma\!\left(z\right) - \frac{1}{z}\right]
Definitions:
Fungrim symbol Notation Short description
ConstGammaγ\gamma The constant gamma (0.577...)
ComplexLimitlimzaf ⁣(z)\lim_{z \to a} f\!\left(z\right) Limiting value, complex variable
GammaFunctionΓ ⁣(z)\Gamma\!\left(z\right) Gamma function
Source code for this entry:
Entry(ID("79d6ba"),
    Formula(Equal(ConstGamma, Neg(ComplexLimit(Brackets(Sub(GammaFunction(z), Div(1, z))), z, 0)))))

Topics using this entry

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

2019-08-17 11:32:46.829430 UTC