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Fungrim entry: 78f1f4

Γ ⁣(z+1)=zΓ ⁣(z)\Gamma\!\left(z + 1\right) = z \Gamma\!\left(z\right)
Assumptions:z∈C∖{0,−1,…}z \in \mathbb{C} \setminus \{0, -1, \ldots\}
TeX:
\Gamma\!\left(z + 1\right) = z \Gamma\!\left(z\right)

z \in \mathbb{C} \setminus \{0, -1, \ldots\}
Definitions:
Fungrim symbol Notation Short description
GammaFunctionΓ ⁣(z)\Gamma\!\left(z\right) Gamma function
CCC\mathbb{C} Complex numbers
ZZLessEqualZ≤n\mathbb{Z}_{\le n} Integers less than or equal to n
Source code for this entry:
Entry(ID("78f1f4"),
    Formula(Equal(GammaFunction(Add(z, 1)), Mul(z, GammaFunction(z)))),
    Variables(z),
    Assumptions(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.

2019-06-18 07:49:59.356594 UTC