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Fungrim entry: d7d2a0

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

z \in \mathbb{C} \setminus \{0, -1, \ldots\}
Definitions:
Fungrim symbol Notation Short description
GammaFunctionΓ(z)\Gamma(z) Gamma function
Conjugatez\overline{z} Complex conjugate
CCC\mathbb{C} Complex numbers
ZZLessEqualZn\mathbb{Z}_{\le n} Integers less than or equal to n
Source code for this entry:
Entry(ID("d7d2a0"),
    Formula(Equal(GammaFunction(Conjugate(z)), Conjugate(GammaFunction(z)))),
    Variables(z),
    Assumptions(Element(z, SetMinus(CC, ZZLessEqual(0)))))

Topics using this entry

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