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Fungrim entry: 072166

atan⁡ ⁣(iz)=iatanh⁡ ⁣(z)\operatorname{atan}\!\left(i z\right) = i \operatorname{atanh}\!\left(z\right)
Assumptions:z∈Cz \in \mathbb{C}
TeX:
\operatorname{atan}\!\left(i z\right) = i \operatorname{atanh}\!\left(z\right)

z \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
Atanatan⁡ ⁣(z)\operatorname{atan}\!\left(z\right) Inverse tangent
ConstIii Imaginary unit
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("072166"),
    Formula(Equal(Atan(Mul(ConstI, z)), Mul(ConstI, Atanh(z)))),
    Variables(z),
    Assumptions(Element(z, CC)))

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2019-06-18 07:49:59.356594 UTC