Fungrim entry: d9403e

\psi^{(m)}\!\left(z\right) \text{ is meromorphic on } z \in \mathbb{C}

Assumptions:

m \in \mathbb{Z}_{\ge 0}

TeX:

\psi^{(m)}\!\left(z\right) \text{ is meromorphic on } z \in \mathbb{C}

m \in \mathbb{Z}_{\ge 0}

Definitions:

Fungrim symbol	Notation	Short description
`IsMeromorphic`	$f(z) \text{ is meromorphic at } z = c$	Meromorphic predicate
`DigammaFunction`	$\psi\!\left(z\right)$	Digamma function
`CC`	$\mathbb{C}$	Complex numbers
`ZZGreaterEqual`	$\mathbb{Z}_{\ge n}$	Integers greater than or equal to n

Source code for this entry:

Entry(ID("d9403e"),
    Formula(IsMeromorphic(DigammaFunction(z, m), ForElement(z, CC))),
    Variables(m),
    Assumptions(Element(m, ZZGreaterEqual(0))))

Topics using this entry

Digamma function

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

2021-03-15 19:12:00.328586 UTC