Fungrim entry: 798c5d

\operatorname{HolomorphicDomain}\!\left(\Gamma\!\left(z\right), z, \mathbb{C} \cup \left\{{\tilde \infty}\right\}\right) = \mathbb{C} \setminus \{0, -1, \ldots\}

TeX:

\operatorname{HolomorphicDomain}\!\left(\Gamma\!\left(z\right), z, \mathbb{C} \cup \left\{{\tilde \infty}\right\}\right) = \mathbb{C} \setminus \{0, -1, \ldots\}

Definitions:

Fungrim symbol	Notation	Short description
`GammaFunction`	$\Gamma\!\left(z\right)$	Gamma function
`CC`	$\mathbb{C}$	Complex numbers
`UnsignedInfinity`	${\tilde \infty}$	Unsigned infinity
`ZZLessEqual`	$\mathbb{Z}_{\le n}$	Integers less than or equal to n

Source code for this entry:

Entry(ID("798c5d"),
    Formula(Equal(HolomorphicDomain(GammaFunction(z), z, Union(CC, Set(UnsignedInfinity))), SetMinus(CC, ZZLessEqual(0)))))

Topics using this entry

Gamma function

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

2019-06-18 07:49:59.356594 UTC