DLMF:4.23.E12 (Q1764)

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DLMF:4.23.E12
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    Statements

    Defining formula
    arctan ⁡ ( - z ) = - arctan ⁡ z , 𝑧 𝑧 {\displaystyle{\displaystyle\operatorname{arctan}\left(-z\right)=-% \operatorname{arctan}z,}}
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    DLMF id
    DLMF:4.23.E12
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    constraint
    z ≠ ± i 𝑧 plus-or-minus imaginary-unit {\displaystyle{\displaystyle z\neq\pm\mathrm{i}}}
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    Symbols used
    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2abdec
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    Q10816
    Defining formula
    arctan ⁡ z 𝑧 {\displaystyle{\displaystyle\operatorname{arctan}\NVar{z}}}
    xml-id
    C4.S23.SS2.p1.m7abdec
    0 references
     
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