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Fungrim entry: f77124

ord⁡z=−nG(z)=n+1\mathop{\operatorname{ord}}\limits_{z=-n} G(z) = n + 1
Assumptions:n∈Z≥0n \in \mathbb{Z}_{\ge 0}
TeX:
\mathop{\operatorname{ord}}\limits_{z=-n} G(z) = n + 1

n \in \mathbb{Z}_{\ge 0}
Definitions:
Fungrim symbol Notation Short description
ComplexZeroMultiplicityord⁡z=cf(z)\mathop{\operatorname{ord}}\limits_{z=c} f(z) Multiplicity (order) of complex zero
BarnesGG(z)G(z) Barnes G-function
ZZGreaterEqualZ≥n\mathbb{Z}_{\ge n} Integers greater than or equal to n
Source code for this entry:
Entry(ID("f77124"),
    Formula(Equal(ComplexZeroMultiplicity(BarnesG(z), For(z, Neg(n))), Add(n, 1))),
    Variables(n),
    Assumptions(And(Element(n, ZZGreaterEqual(0)))))

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2021-03-15 19:12:00.328586 UTC