Fungrim home page

Fungrim entry: 01440f

erfi ⁣(z)=ierf ⁣(iz)\operatorname{erfi}\!\left(z\right) = -i \operatorname{erf}\!\left(i z\right)
Assumptions:zCz \in \mathbb{C}
TeX:
\operatorname{erfi}\!\left(z\right) = -i \operatorname{erf}\!\left(i z\right)

z \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
Erfierfi ⁣(z)\operatorname{erfi}\!\left(z\right) Imaginary error function
ConstIii Imaginary unit
Erferf ⁣(z)\operatorname{erf}\!\left(z\right) Error function
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("01440f"),
    Formula(Equal(Erfi(z), Neg(Mul(ConstI, Erf(Mul(ConstI, z)))))),
    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.

2019-09-19 20:12:49.583742 UTC