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Fungrim entry: a26ac7

Γ(z)=exp ⁣(logΓ(z))\Gamma(z) = \exp\!\left(\log \Gamma(z)\right)
Assumptions:zC{0,1,}z \in \mathbb{C} \setminus \{0, -1, \ldots\}
TeX:
\Gamma(z) = \exp\!\left(\log \Gamma(z)\right)

z \in \mathbb{C} \setminus \{0, -1, \ldots\}
Definitions:
Fungrim symbol Notation Short description
GammaFunctionΓ(z)\Gamma(z) Gamma function
Expez{e}^{z} Exponential function
LogGammalogΓ(z)\log \Gamma(z) Logarithmic gamma function
CCC\mathbb{C} Complex numbers
ZZLessEqualZn\mathbb{Z}_{\le n} Integers less than or equal to n
Source code for this entry:
Entry(ID("a26ac7"),
    Formula(Equal(GammaFunction(z), Exp(LogGamma(z)))),
    Variables(z),
    Assumptions(And(Element(z, SetMinus(CC, ZZLessEqual(0))))))

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

2019-10-05 13:11:19.856591 UTC