DLMF:1.11.E23 (Q418)

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DLMF:1.11.E23
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    Statements

    Defining formula
    R n ⁢ ( cos ⁡ ( α + 2 ⁢ k ⁢ π n ) + i ⁢ sin ⁡ ( α + 2 ⁢ k ⁢ π n ) ) , 𝑛 𝑅 𝛼 2 𝑘 𝜋 𝑛 𝑖 𝛼 2 𝑘 𝜋 𝑛 {\displaystyle{\displaystyle\sqrt[n]{R}\left(\cos\left(\frac{\alpha+2k\pi}{n}% \right)+i\sin\left(\frac{\alpha+2k\pi}{n}\right)\right),}}
    0 references
    DLMF id
    DLMF:1.11.E23
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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.m2aadec
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    cosine function
    Defining formula
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2adec
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    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2abdec
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