DLMF:2.3.E19 (Q738)

From DRMF
Revision as of 16:53, 1 January 2020 by Admin (talk | contribs) (‎Changed an Item: Add constraint)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
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
    Q10958
    Defining formula
    p ⁢ ( t ) 𝑝 𝑡 {\displaystyle{\displaystyle p(t)}}
    xml-id
    C2.S3.XMD17.m1edec
    0 references
    Q10961
    Defining formula
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C2.S3.XMD23.m1dec
    0 references
    Q10962
    Defining formula
    b 𝑏 {\displaystyle{\displaystyle b}}
    xml-id
    C2.S3.XMD24.m1dec
    0 references
    function (locally)
    Defining formula
    q ⁢ ( t ) 𝑞 𝑡 {\displaystyle{\displaystyle q(t)}}
    xml-id
    C2.S3.XMD6.m1edec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q738&oldid=24156"