DLMF:4.37.E3 (Q1922)

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DLMF:4.37.E3
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    Statements

    Defining formula
    Arctanh ⁡ z = ∫ 0 z d t 1 - t 2 , multivalued-hyperbolic-inverse-tangent 𝑧 superscript subscript 0 𝑧 𝑡 1 superscript 𝑡 2 {\displaystyle{\displaystyle\operatorname{Arctanh}z=\int_{0}^{z}\frac{\mathrm{% d}t}{1-t^{2}},}}
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    DLMF id
    DLMF:4.37.E3
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    constraint
    z ≠ ± 1 𝑧 plus-or-minus 1 {\displaystyle{\displaystyle z\neq\pm 1}}
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