Fungrim entry: 6000d0

\mathop{\operatorname{zeros}\,}\limits_{z \in \mathbb{C}} \psi\!\left(z\right) = \left\{ x_{n} : n \in \mathbb{Z}_{\ge 0} \right\}

TeX:

\mathop{\operatorname{zeros}\,}\limits_{z \in \mathbb{C}} \psi\!\left(z\right) = \left\{ x_{n} : n \in \mathbb{Z}_{\ge 0} \right\}

Definitions:

Fungrim symbol	Notation	Short description
`Zeros`	$\mathop{\operatorname{zeros}\,}\limits_{x \in S} f(x)$	Zeros (roots) of function
`DigammaFunction`	$\psi\!\left(z\right)$	Digamma function
`CC`	$\mathbb{C}$	Complex numbers
`DigammaFunctionZero`	$x_{n}$	Zero of the digamma function
`ZZGreaterEqual`	$\mathbb{Z}_{\ge n}$	Integers greater than or equal to n

Source code for this entry:

Entry(ID("6000d0"),
    Formula(Equal(Zeros(DigammaFunction(z), ForElement(z, CC)), Set(DigammaFunctionZero(n), ForElement(n, ZZGreaterEqual(0))))))

Topics using this entry

2021-03-15 19:12:00.328586 UTC