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Fungrim entry: 639d91

Γ(z)=(z1)Γ ⁣(z1)\Gamma(z) = \left(z - 1\right) \Gamma\!\left(z - 1\right)
Assumptions:zC{1,0,}z \in \mathbb{C} \setminus \{1, 0, \ldots\}
TeX:
\Gamma(z) = \left(z - 1\right) \Gamma\!\left(z - 1\right)

z \in \mathbb{C} \setminus \{1, 0, \ldots\}
Definitions:
Fungrim symbol Notation Short description
GammaFunctionΓ(z)\Gamma(z) 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("639d91"),
    Formula(Equal(GammaFunction(z), Mul(Sub(z, 1), GammaFunction(Sub(z, 1))))),
    Variables(z),
    Assumptions(Element(z, SetMinus(CC, ZZLessEqual(1)))))

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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