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Fungrim entry: b05f2b

minx(0,)logΓ ⁣(x)[0.121486290535849608095514557178±3.091031]\mathop{\min}\limits_{x \in \left(0, \infty\right)} \log \Gamma\!\left(x\right) \in \left[-0.121486290535849608095514557178 \pm 3.09 \cdot 10^{-31}\right]
TeX:
\mathop{\min}\limits_{x \in \left(0, \infty\right)} \log \Gamma\!\left(x\right) \in \left[-0.121486290535849608095514557178 \pm 3.09 \cdot 10^{-31}\right]
Definitions:
Fungrim symbol Notation Short description
MinimumminP(x)f ⁣(x)\mathop{\min}\limits_{P\left(x\right)} f\!\left(x\right) Minimum value of a set or function
LogGammalogΓ ⁣(z)\log \Gamma\!\left(z\right) Logarithmic gamma function
OpenInterval(a,b)\left(a, b\right) Open interval
Infinity\infty Positive infinity
Source code for this entry:
Entry(ID("b05f2b"),
    Formula(Element(Minimum(LogGamma(x), x, Element(x, OpenInterval(0, Infinity))), RealBall(Decimal("-0.121486290535849608095514557178"), Decimal("3.09e-31")))))

Topics using this entry

Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2019-06-18 07:49:59.356594 UTC