Fungrim home page

Fungrim entry: 6000d0

zeroszCψ ⁣(z)={xn:nZ0}\mathop{\operatorname{zeros}\,}\limits_{z \in \mathbb{C}} \psi\!\left(z\right) = \left\{ x_{n} : n \in \mathbb{Z}_{\ge 0} \right\}
TeX:
\mathop{\operatorname{zeros}\,}\limits_{z \in \mathbb{C}} \psi\!\left(z\right) = \left\{ x_{n} : n \in \mathbb{Z}_{\ge 0} \right\}
Definitions:
Fungrim symbol Notation Short description
ZeroszerosxSf(x)\mathop{\operatorname{zeros}\,}\limits_{x \in S} f(x) Zeros (roots) of function
DigammaFunctionψ ⁣(z)\psi\!\left(z\right) Digamma function
CCC\mathbb{C} Complex numbers
DigammaFunctionZeroxnx_{n} Zero of the digamma function
ZZGreaterEqualZn\mathbb{Z}_{\ge n} Integers greater than or equal to n
Source code for this entry:
Entry(ID("6000d0"),
    Formula(Equal(Zeros(DigammaFunction(z), ForElement(z, CC)), Set(DigammaFunctionZero(n), ForElement(n, ZZGreaterEqual(0))))))

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