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Fungrim entry: 6cabb7

ψ ⁣(x+y)>ψ ⁣(x)\psi\!\left(x + y\right) > \psi\!\left(x\right)
Assumptions:x∈(0,∞)  and⁡  y∈(0,∞)x \in \left(0, \infty\right) \;\mathbin{\operatorname{and}}\; y \in \left(0, \infty\right)
TeX:
\psi\!\left(x + y\right) > \psi\!\left(x\right)

x \in \left(0, \infty\right) \;\mathbin{\operatorname{and}}\; y \in \left(0, \infty\right)
Definitions:
Fungrim symbol Notation Short description
DigammaFunctionψ ⁣(z)\psi\!\left(z\right) Digamma function
OpenInterval(a,b)\left(a, b\right) Open interval
Infinity∞\infty Positive infinity
Source code for this entry:
Entry(ID("6cabb7"),
    Formula(Greater(DigammaFunction(Add(x, y)), DigammaFunction(x))),
    Variables(x, y),
    Assumptions(And(Element(x, OpenInterval(0, Infinity)), Element(y, OpenInterval(0, Infinity)))))

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