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Fungrim entry: 4538ba

log(z) is holomorphic on zC(,0]\log(z) \text{ is holomorphic on } z \in \mathbb{C} \setminus \left(-\infty, 0\right]
TeX:
\log(z) \text{ is holomorphic on } z \in \mathbb{C} \setminus \left(-\infty, 0\right]
Definitions:
Fungrim symbol Notation Short description
IsHolomorphicf(z) is holomorphic at z=cf(z) \text{ is holomorphic at } z = c Holomorphic predicate
Loglog(z)\log(z) Natural logarithm
CCC\mathbb{C} Complex numbers
OpenClosedInterval(a,b]\left(a, b\right] Open-closed interval
Infinity\infty Positive infinity
Source code for this entry:
Entry(ID("4538ba"),
    Formula(IsHolomorphic(Log(z), ForElement(z, SetMinus(CC, OpenClosedInterval(Neg(Infinity), 0))))))

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

2020-04-08 16:14:44.404316 UTC