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Fungrim entry: d9403e

ψ(m) ⁣(z) is meromorphic on zC\psi^{(m)}\!\left(z\right) \text{ is meromorphic on } z \in \mathbb{C}
Assumptions:mZ0m \in \mathbb{Z}_{\ge 0}
\psi^{(m)}\!\left(z\right) \text{ is meromorphic on } z \in \mathbb{C}

m \in \mathbb{Z}_{\ge 0}
Fungrim symbol Notation Short description
IsMeromorphicf(z) is meromorphic at z=cf(z) \text{ is meromorphic at } z = c Meromorphic predicate
DigammaFunctionψ ⁣(z)\psi\!\left(z\right) Digamma function
CCC\mathbb{C} Complex numbers
ZZGreaterEqualZn\mathbb{Z}_{\ge n} Integers greater than or equal to n
Source code for this entry:
    Formula(IsMeromorphic(DigammaFunction(z, m), ForElement(z, CC))),
    Assumptions(Element(m, ZZGreaterEqual(0))))

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2021-03-15 19:12:00.328586 UTC