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Fungrim entry: 86b3ec

G ⁣(z+1)=Γ(z)G(z)G\!\left(z + 1\right) = \Gamma(z) G(z)
Assumptions:zC  and  z{0,1,}z \in \mathbb{C} \;\mathbin{\operatorname{and}}\; z \notin \{0, -1, \ldots\}
G\!\left(z + 1\right) = \Gamma(z) G(z)

z \in \mathbb{C} \;\mathbin{\operatorname{and}}\; z \notin \{0, -1, \ldots\}
Fungrim symbol Notation Short description
BarnesGG(z)G(z) Barnes G-function
GammaΓ(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:
    Formula(Equal(BarnesG(Add(z, 1)), Mul(Gamma(z), BarnesG(z)))),
    Assumptions(And(Element(z, CC), NotElement(z, ZZLessEqual(0)))))

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2021-03-15 19:12:00.328586 UTC