DLMF:4.45.E10 (Q2016)

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DLMF:4.45.E10
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    Statements

    Defining formula
    arctan ⁡ x = 2 n ⁢ arctan ⁡ x n . 𝑥 superscript 2 𝑛 subscript 𝑥 𝑛 {\displaystyle{\displaystyle\operatorname{arctan}x=2^{n}\operatorname{arctan}x% _{n}.}}
    0 references
    DLMF id
    DLMF:4.45.E10
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    Symbols used
    Q10816
    Defining formula
    arctan ⁡ z 𝑧 {\displaystyle{\displaystyle\operatorname{arctan}\NVar{z}}}
    xml-id
    C4.S23.SS2.p1.m7abdec
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    Q11223
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C4.S1.XMD3.m1adec
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    Q11218
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C4.S1.XMD6.m1hdec
    0 references
     
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