Fungrim entry: 01440f

\operatorname{erfi}\!\left(z\right) = -i \operatorname{erf}\!\left(i z\right)

Assumptions:

z \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
`Erfi`	$\operatorname{erfi}\!\left(z\right)$	Imaginary error function
`ConstI`	$i$	Imaginary unit
`Erf`	$\operatorname{erf}\!\left(z\right)$	Error function
`CC`	$\mathbb{C}$	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

2019-06-18 07:49:59.356594 UTC