Fungrim home page

Fungrim entry: f8a56f

iz=eπiz/2{i}^{z} = {e}^{\pi i z / 2}
Assumptions:zCz \in \mathbb{C}
TeX:
{i}^{z} = {e}^{\pi i z / 2}

z \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
Powab{a}^{b} Power
ConstIii Imaginary unit
Expez{e}^{z} Exponential function
Piπ\pi The constant pi (3.14...)
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("f8a56f"),
    Formula(Equal(Pow(ConstI, z), Exp(Div(Mul(Mul(Pi, ConstI), z), 2)))),
    Variables(z),
    Assumptions(Element(z, CC)))

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