DLMF:15.12.E1 (Q5161): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q10816 / rank
 
Normal rank
Property / Symbols used: Q10816 / qualifier
 
test:

arctan ⁡ z 𝑧 {\displaystyle{\displaystyle\operatorname{arctan}\NVar{z}}}

\atan@@{\NVar{z}}
Property / Symbols used: Q10816 / qualifier
 
xml-id: C4.S23.SS2.p1.m7adec

Revision as of 13:23, 2 January 2020

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DLMF:15.12.E1
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    Statements

    test
    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
    0 references
    Symbols used
    the ratio of the circumference of a circle to its diameter
    test
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2adec
    0 references
    Q10816
    test
    arctan ⁡ z 𝑧 {\displaystyle{\displaystyle\operatorname{arctan}\NVar{z}}}
    xml-id
    C4.S23.SS2.p1.m7adec
    0 references
     
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