DLMF:15.12.E1 (Q5161)

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DLMF:15.12.E1
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    Statements

    Defining formula
    α ± = arctan ⁡ ( ph ⁡ z - ph ⁡ ( 1 - z ) ∓ π ln ⁡ | 1 - z - 1 | ) , subscript 𝛼 plus-or-minus minus-or-plus phase 𝑧 phase 1 𝑧 𝜋 1 superscript 𝑧 1 {\displaystyle{\displaystyle\alpha_{\pm}=\operatorname{arctan}\left(\frac{% \operatorname{ph}z-\operatorname{ph}\left(1-z\right)\mp\pi}{\ln|1-z^{-1}|}% \right),}}
    0 references
    DLMF id
    DLMF:15.12.E1
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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.m2adec
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    Q10816
    Defining formula
    arctan ⁡ z 𝑧 {\displaystyle{\displaystyle\operatorname{arctan}\NVar{z}}}
    xml-id
    C4.S23.SS2.p1.m7adec
    0 references
     
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