Fungrim entry: 2870f0

\mathop{\operatorname{poles}\,}\limits_{z \in \mathbb{C} \cup \left\{{\tilde \infty}\right\}} \Gamma(z) = \{0, -1, \ldots\}

TeX:

\mathop{\operatorname{poles}\,}\limits_{z \in \mathbb{C} \cup \left\{{\tilde \infty}\right\}} \Gamma(z) = \{0, -1, \ldots\}

Definitions:

Fungrim symbol	Notation	Short description
`Gamma`	$\Gamma(z)$	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("2870f0"),
    Formula(Equal(Poles(Gamma(z), ForElement(z, Union(CC, Set(UnsignedInfinity)))), ZZLessEqual(0))))

Topics using this entry

2021-03-15 19:12:00.328586 UTC