Fungrim entry: 26c47c

\operatorname{BranchPoints}\!\left(\operatorname{atan}\!\left(z\right), z, \mathbb{C} \cup \left\{{\tilde \infty}\right\}\right) = \left\{-i, i, {\tilde \infty}\right\}

TeX:

\operatorname{BranchPoints}\!\left(\operatorname{atan}\!\left(z\right), z, \mathbb{C} \cup \left\{{\tilde \infty}\right\}\right) = \left\{-i, i, {\tilde \infty}\right\}

Definitions:

Fungrim symbol	Notation	Short description
`Atan`	$\operatorname{atan}\!\left(z\right)$	Inverse tangent
`CC`	$\mathbb{C}$	Complex numbers
`UnsignedInfinity`	${\tilde \infty}$	Unsigned infinity
`ConstI`	$i$	Imaginary unit

Source code for this entry:

Entry(ID("26c47c"),
    Formula(Equal(BranchPoints(Atan(z), z, Union(CC, Set(UnsignedInfinity))), Set(Neg(ConstI), ConstI, UnsignedInfinity))))

Topics using this entry

Inverse tangent

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