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Fungrim entry: 62c6c9

n!=Γ ⁣(n+1)n ! = \Gamma\!\left(n + 1\right)
Assumptions:nZ0n \in \mathbb{Z}_{\ge 0}
TeX:
n ! = \Gamma\!\left(n + 1\right)

n \in \mathbb{Z}_{\ge 0}
Definitions:
Fungrim symbol Notation Short description
Factorialn!n ! Factorial
GammaFunctionΓ(z)\Gamma(z) Gamma function
ZZGreaterEqualZn\mathbb{Z}_{\ge n} Integers greater than or equal to n
Source code for this entry:
Entry(ID("62c6c9"),
    Formula(Equal(Factorial(n), GammaFunction(Add(n, 1)))),
    Variables(n),
    Assumptions(Element(n, ZZGreaterEqual(0))))

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

2019-10-05 13:11:19.856591 UTC