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Fungrim entry: 14af98

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

z \in \mathbb{C} \setminus \{1, 0, \ldots\}
Definitions:
Fungrim symbol Notation Short description
GammaFunctionΓ ⁣(z)\Gamma\!\left(z\right) 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("14af98"),
    Formula(Equal(GammaFunction(Sub(z, 1)), Div(GammaFunction(z), 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.

2019-08-19 14:38:23.809000 UTC