DLMF:4.23.E3 (Q1755): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q10771 / rank
 
Normal rank
Property / Symbols used: Q10771 / qualifier
 
Defining formula:

∫ {\displaystyle{\displaystyle\int}}

\int
Property / Symbols used: Q10771 / qualifier
 
xml-id: C1.S4.SS4.m3abdec

Revision as of 18:30, 1 January 2020

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DLMF:4.23.E3
No description defined

    Statements

    Defining formula
    Arctan ⁡ z = ∫ 0 z d t 1 + t 2 , multivalued-inverse-tangent 𝑧 superscript subscript 0 𝑧 𝑡 1 superscript 𝑡 2 {\displaystyle{\displaystyle\operatorname{Arctan}z=\int_{0}^{z}\frac{\mathrm{d% }t}{1+t^{2}},}}
    0 references
    DLMF id
    DLMF:4.23.E3
    0 references
    constraint
    z ≠ ± i 𝑧 plus-or-minus imaginary-unit {\displaystyle{\displaystyle z\neq\pm\mathrm{i}}}
    0 references
    Symbols used
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1abdec
    0 references
    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2adec
    0 references
    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3abdec
    0 references
     
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