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Fungrim entry: 86333d

poleszCψ(m) ⁣(z)={0,1,}\mathop{\operatorname{poles}\,}\limits_{z \in \mathbb{C}} \psi^{(m)}\!\left(z\right) = \{0, -1, \ldots\}
Assumptions:mZ0m \in \mathbb{Z}_{\ge 0}
\mathop{\operatorname{poles}\,}\limits_{z \in \mathbb{C}} \psi^{(m)}\!\left(z\right) = \{0, -1, \ldots\}

m \in \mathbb{Z}_{\ge 0}
Fungrim symbol Notation Short description
DigammaFunctionψ ⁣(z)\psi\!\left(z\right) Digamma function
CCC\mathbb{C} Complex numbers
ZZLessEqualZn\mathbb{Z}_{\le n} Integers less than or equal to n
ZZGreaterEqualZn\mathbb{Z}_{\ge n} Integers greater than or equal to n
Source code for this entry:
    Formula(Equal(Poles(DigammaFunction(z, m), ForElement(z, CC)), ZZLessEqual(0))),
    Assumptions(Element(m, ZZGreaterEqual(0))))

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2021-03-15 19:12:00.328586 UTC