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Fungrim entry: a0845d

zC{0,1,}        ψ ⁣(z)Cz \in \mathbb{C} \setminus \{0, -1, \ldots\} \;\implies\; \psi\!\left(z\right) \in \mathbb{C}
TeX:
z \in \mathbb{C} \setminus \{0, -1, \ldots\} \;\implies\; \psi\!\left(z\right) \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
CCC\mathbb{C} Complex numbers
ZZLessEqualZn\mathbb{Z}_{\le n} Integers less than or equal to n
DigammaFunctionψ ⁣(z)\psi\!\left(z\right) Digamma function
Source code for this entry:
Entry(ID("a0845d"),
    Formula(Implies(Element(z, SetMinus(CC, ZZLessEqual(0))), Element(DigammaFunction(z), CC))),
    Variables(z))

Topics using this entry

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