DLMF:2.3.E22 (Q741)

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DLMF:2.3.E22
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    Statements

    Defining formula
    ∫ e i ⁢ x ⁢ p ⁢ ( t ) ⁢ P s ⁢ ( t ) ⁢ p ′ ⁢ ( t ) ⁢ d t , superscript 𝑒 𝑖 𝑥 𝑝 𝑡 subscript 𝑃 𝑠 𝑡 superscript 𝑝 ′ 𝑡 𝑡 {\displaystyle{\displaystyle\int e^{ixp(t)}P_{s}(t)p^{\prime}(t)\mathrm{d}t,}}
    0 references
    DLMF id
    DLMF:2.3.E22
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    constraint
    s = 0 , 1 , 2 , … 𝑠 0 1 2 … {\displaystyle{\displaystyle s=0,1,2,\dots}}
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    Symbols used
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1aldec
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    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2ajdec
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