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Fungrim entry: 00c02a

ψ ⁣(n)=Hn−1−γ\psi\!\left(n\right) = H_{n - 1} - \gamma
Assumptions:n∈Z≥1n \in \mathbb{Z}_{\ge 1}
TeX:
\psi\!\left(n\right) = H_{n - 1} - \gamma

n \in \mathbb{Z}_{\ge 1}
Definitions:
Fungrim symbol Notation Short description
DigammaFunctionψ ⁣(z)\psi\!\left(z\right) Digamma function
ConstGammaγ\gamma The constant gamma (0.577...)
ZZGreaterEqualZ≥n\mathbb{Z}_{\ge n} Integers greater than or equal to n
Source code for this entry:
Entry(ID("00c02a"),
    Formula(Equal(DigammaFunction(n), Sub(HarmonicNumber(Sub(n, 1)), ConstGamma))),
    Variables(n),
    Assumptions(Element(n, ZZGreaterEqual(1))))

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2021-03-15 19:12:00.328586 UTC