Fungrim entry: 037342

\log G(z) \text{ is holomorphic on } z \in \mathbb{C} \setminus \left(-\infty, 0\right]

TeX:

\log G(z) \text{ is holomorphic on } z \in \mathbb{C} \setminus \left(-\infty, 0\right]

Definitions:

Fungrim symbol	Notation	Short description
`IsHolomorphic`	$f(z) \text{ is holomorphic at } z = c$	Holomorphic predicate
`LogBarnesG`	$\log G(z)$	Logarithmic Barnes G-function
`CC`	$\mathbb{C}$	Complex numbers
`OpenClosedInterval`	$\left(a, b\right]$	Open-closed interval
`Infinity`	$\infty$	Positive infinity

Source code for this entry:

Entry(ID("037342"),
    Formula(IsHolomorphic(LogBarnesG(z), ForElement(z, SetMinus(CC, OpenClosedInterval(Neg(Infinity), 0))))),
    Variables(z))

Topics using this entry

2021-03-15 19:12:00.328586 UTC