DLMF:4.23.E33 (Q1785)

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DLMF:4.23.E33
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    Statements

    Defining formula
    w = Arctan ⁡ z = arctan ⁡ z + k ⁢ π , 𝑤 multivalued-inverse-tangent 𝑧 𝑧 𝑘 𝜋 {\displaystyle{\displaystyle w=\operatorname{Arctan}z=\operatorname{arctan}z+k% \pi,}}
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    DLMF id
    DLMF:4.23.E33
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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
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2aldec
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    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2amdec
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