DLMF:2.3.E13 (Q729): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q10958 / rank
 
Normal rank
Property / Symbols used: Q10958 / qualifier
 
Defining formula:

p ⁢ ( t ) 𝑝 𝑡 {\displaystyle{\displaystyle p(t)}}

p(t)
Property / Symbols used: Q10958 / qualifier
 
xml-id: C2.S3.XMD17.m1dec
Property / Symbols used
 
Property / Symbols used: Q10959 / rank
 
Normal rank
Property / Symbols used: Q10959 / qualifier
 
Defining formula:

q ⁢ ( t ) 𝑞 𝑡 {\displaystyle{\displaystyle q(t)}}

q(t)
Property / Symbols used: Q10959 / qualifier
 
xml-id: C2.S3.XMD19.m1dec

Latest revision as of 16:52, 1 January 2020

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DLMF:2.3.E13
No description defined

    Statements

    Defining formula
    I ⁢ ( x ) = ∫ a b e - x ⁢ p ⁢ ( t ) ⁢ q ⁢ ( t ) ⁢ d t 𝐼 𝑥 superscript subscript 𝑎 𝑏 superscript 𝑒 𝑥 𝑝 𝑡 𝑞 𝑡 𝑡 {\displaystyle{\displaystyle I(x)=\int_{a}^{b}e^{-xp(t)}q(t)\mathrm{d}t}}
    0 references
    DLMF id
    DLMF:2.3.E13
    0 references
    Symbols used
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1ahdec
    0 references
    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2afdec
    0 references
    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3ahdec
    0 references
    Q10956
    Defining formula
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C2.S3.XMD15.m1dec
    0 references
    Q10957
    Defining formula
    b 𝑏 {\displaystyle{\displaystyle b}}
    xml-id
    C2.S3.XMD16.m1dec
    0 references
    Q10958
    Defining formula
    p ⁢ ( t ) 𝑝 𝑡 {\displaystyle{\displaystyle p(t)}}
    xml-id
    C2.S3.XMD17.m1dec
    0 references
    Q10959
    Defining formula
    q ⁢ ( t ) 𝑞 𝑡 {\displaystyle{\displaystyle q(t)}}
    xml-id
    C2.S3.XMD19.m1dec
    0 references
     
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