Fungrim home page

Fungrim entry: 5db5f2

ψ(m) ⁣(z)=ψ(m) ⁣(z)\psi^{(m)}\!\left(\overline{z}\right) = \overline{\psi^{(m)}\!\left(z\right)}
Assumptions:mZ0  and  zCm \in \mathbb{Z}_{\ge 0} \;\mathbin{\operatorname{and}}\; z \in \mathbb{C}
\psi^{(m)}\!\left(\overline{z}\right) = \overline{\psi^{(m)}\!\left(z\right)}

m \in \mathbb{Z}_{\ge 0} \;\mathbin{\operatorname{and}}\; z \in \mathbb{C}
Fungrim symbol Notation Short description
DigammaFunctionψ ⁣(z)\psi\!\left(z\right) Digamma function
Conjugatez\overline{z} Complex conjugate
ZZGreaterEqualZn\mathbb{Z}_{\ge n} Integers greater than or equal to n
CCC\mathbb{C} Complex numbers
Source code for this entry:
    Formula(Equal(DigammaFunction(Conjugate(z), m), Conjugate(DigammaFunction(z, m)))),
    Variables(m, z),
    Assumptions(And(Element(m, ZZGreaterEqual(0)), Element(z, CC))))

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