DLMF:4.23.E12 (Q1764): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q10816 / rank
 
Normal rank
Property / Symbols used: Q10816 / qualifier
 
Defining formula:

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

\atan@@{\NVar{z}}
Property / Symbols used: Q10816 / qualifier
 
xml-id: C4.S23.SS2.p1.m7abdec

Revision as of 18:31, 1 January 2020

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DLMF:4.23.E12
No description defined

    Statements

    Defining formula
    arctan ⁡ ( - z ) = - arctan ⁡ z , 𝑧 𝑧 {\displaystyle{\displaystyle\operatorname{arctan}\left(-z\right)=-% \operatorname{arctan}z,}}
    0 references
    DLMF id
    DLMF:4.23.E12
    0 references
    constraint
    z ≠ ± i 𝑧 plus-or-minus imaginary-unit {\displaystyle{\displaystyle z\neq\pm\mathrm{i}}}
    0 references
    Symbols used
    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2abdec
    0 references
    Q10816
    Defining formula
    arctan ⁡ z 𝑧 {\displaystyle{\displaystyle\operatorname{arctan}\NVar{z}}}
    xml-id
    C4.S23.SS2.p1.m7abdec
    0 references
     
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