Fungrim home page

Fungrim entry: b6808d

γ0 ⁣(a)=ψ ⁣(a)\gamma_{0}\!\left(a\right) = -\psi\!\left(a\right)
Assumptions:aC  and  a{0,1,}a \in \mathbb{C} \;\mathbin{\operatorname{and}}\; a \notin \{0, -1, \ldots\}
TeX:
\gamma_{0}\!\left(a\right) = -\psi\!\left(a\right)

a \in \mathbb{C} \;\mathbin{\operatorname{and}}\; a \notin \{0, -1, \ldots\}
Definitions:
Fungrim symbol Notation Short description
StieltjesGammaγn ⁣(a)\gamma_{n}\!\left(a\right) Stieltjes constant
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
Source code for this entry:
Entry(ID("b6808d"),
    Formula(Equal(StieltjesGamma(0, a), Neg(DigammaFunction(a)))),
    Variables(a),
    Assumptions(And(Element(a, CC), NotElement(a, ZZLessEqual(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