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Fungrim entry: a26ac7

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

z \in \mathbb{C} \setminus \{0, -1, \ldots\}
Definitions:
Fungrim symbol Notation Short description
GammaFunctionΓ ⁣(z)\Gamma\!\left(z\right) Gamma function
Expez{e}^{z} Exponential function
LogGammalogΓ ⁣(z)\log \Gamma\!\left(z\right) 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))))))

Topics using this entry

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

2019-08-19 14:38:23.809000 UTC