DLMF:2.4.E17 (Q772)

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DLMF:2.4.E17
No description defined

    Statements

    Defining formula
    I ⁢ ( α , z ) = ∫ 𝒫 e - z ⁢ p ⁢ ( α , t ) ⁢ q ⁢ ( α , t ) ⁢ d t 𝐼 𝛼 𝑧 subscript 𝒫 superscript 𝑒 𝑧 𝑝 𝛼 𝑡 𝑞 𝛼 𝑡 𝑡 {\displaystyle{\displaystyle I(\alpha,z)=\int_{\mathscr{P}}e^{-zp(\alpha,t)}q(% \alpha,t)\mathrm{d}t}}
    0 references
    DLMF id
    DLMF:2.4.E17
    0 references
    Symbols used
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1aidec
    0 references
    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2aldec
    0 references
    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3aidec
    0 references
    Q10985
    Defining formula
    𝒫 𝒫 {\displaystyle{\displaystyle\mathscr{P}}}
    xml-id
    C2.S4.XMD10.m1dec
    0 references
    Q10981
    Defining formula
    p ⁢ ( t ) 𝑝 𝑡 {\displaystyle{\displaystyle p(t)}}
    xml-id
    C2.S4.XMD15.m1fdec
    0 references
    Q10973
    Defining formula
    q ⁢ ( t ) 𝑞 𝑡 {\displaystyle{\displaystyle q(t)}}
    xml-id
    C2.S4.XMD16.m1ldec
    0 references
    Q10986
    Defining formula
    I ⁢ ( α , z ) 𝐼 𝛼 𝑧 {\displaystyle{\displaystyle I(\alpha,z)}}
    xml-id
    C2.S4.XMD20.m1dec
    0 references
     
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