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Fungrim entry: 072166

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

z \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
Atanatan(z)\operatorname{atan}(z) 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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Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2020-01-31 18:09:28.494564 UTC