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Fungrim entry: 2870f0

Poles ⁣(Γ ⁣(z),z,C{~})={0,1,}\operatorname{Poles}\!\left(\Gamma\!\left(z\right), z, \mathbb{C} \cup \left\{{\tilde \infty}\right\}\right) = \{0, -1, \ldots\}
TeX:
\operatorname{Poles}\!\left(\Gamma\!\left(z\right), z, \mathbb{C} \cup \left\{{\tilde \infty}\right\}\right) = \{0, -1, \ldots\}
Definitions:
Fungrim symbol Notation Short description
GammaFunctionΓ ⁣(z)\Gamma\!\left(z\right) Gamma function
CCC\mathbb{C} Complex numbers
UnsignedInfinity~{\tilde \infty} Unsigned infinity
ZZLessEqualZn\mathbb{Z}_{\le n} Integers less than or equal to n
Source code for this entry:
Entry(ID("2870f0"),
    Formula(Equal(Poles(GammaFunction(z), z, Union(CC, Set(UnsignedInfinity))), 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