DLMF:2.3.E19 (Q738): 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.m3ajdec

Revision as of 16:53, 1 January 2020

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DLMF:2.3.E19
No description defined

    Statements

    Defining formula
    I ⁢ ( x ) = ∫ a b e i ⁢ x ⁢ p ⁢ ( t ) ⁢ q ⁢ ( t ) ⁢ d t 𝐼 𝑥 superscript subscript 𝑎 𝑏 superscript 𝑒 𝑖 𝑥 𝑝 𝑡 𝑞 𝑡 𝑡 {\displaystyle{\displaystyle I(x)=\int_{a}^{b}e^{ixp(t)}q(t)\mathrm{d}t}}
    0 references
    DLMF id
    DLMF:2.3.E19
    0 references
    Symbols used
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1ajdec
    0 references
    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2ahdec
    0 references
    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2abdec
    0 references
    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3ajdec
    0 references
     
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