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Fungrim entry: f1d31a

Γ ⁣(n)=(n1)!\Gamma\!\left(n\right) = \left(n - 1\right)!
Assumptions:nC{0,1,}n \in \mathbb{C} \setminus \{0, -1, \ldots\}
TeX:
\Gamma\!\left(n\right) = \left(n - 1\right)!

n \in \mathbb{C} \setminus \{0, -1, \ldots\}
Definitions:
Fungrim symbol Notation Short description
GammaFunctionΓ ⁣(z)\Gamma\!\left(z\right) Gamma function
Factorialn!n ! Factorial
CCC\mathbb{C} Complex numbers
ZZLessEqualZn\mathbb{Z}_{\le n} Integers less than or equal to n
Source code for this entry:
Entry(ID("f1d31a"),
    Formula(Equal(GammaFunction(n), Factorial(Sub(n, 1)))),
    Variables(n),
    Assumptions(Element(n, 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.

2019-08-19 14:38:23.809000 UTC