Fungrim entry: 453c11

\mathop{\operatorname{poles}\,}\limits_{z \in \mathbb{C}} \psi\!\left(z\right) = \{0, -1, \ldots\}

TeX:

\mathop{\operatorname{poles}\,}\limits_{z \in \mathbb{C}} \psi\!\left(z\right) = \{0, -1, \ldots\}

Definitions:

Fungrim symbol	Notation	Short description
`DigammaFunction`	$\psi\!\left(z\right)$	Digamma function
`CC`	$\mathbb{C}$	Complex numbers
`ZZLessEqual`	$\mathbb{Z}_{\le n}$	Integers less than or equal to n

Source code for this entry:

Entry(ID("453c11"),
    Formula(Equal(Poles(DigammaFunction(z), ForElement(z, CC)), ZZLessEqual(0))))

Topics using this entry

2021-03-15 19:12:00.328586 UTC