DLMF:2.4.E10 (Q763): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q10770 / rank
 
Normal rank
Property / Symbols used: Q10770 / qualifier
 
test:

d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

\diff{\NVar{x}}
Property / Symbols used: Q10770 / qualifier
 
xml-id: C1.S4.SS4.m1afdec
Property / Symbols used
 
Property / Symbols used: base of natural logarithm / rank
 
Normal rank
Property / Symbols used: base of natural logarithm / qualifier
 
test:

e {\displaystyle{\displaystyle\mathrm{e}}}

\expe
Property / Symbols used: base of natural logarithm / qualifier
 
xml-id: C4.S2.E11.m2ahdec
Property / Symbols used
 
Property / Symbols used: Q10771 / rank
 
Normal rank
Property / Symbols used: Q10771 / qualifier
 
test:

∫ {\displaystyle{\displaystyle\int}}

\int
Property / Symbols used: Q10771 / qualifier
 
xml-id: C1.S4.SS4.m3afdec
Property / Symbols used
 
Property / Symbols used: Q10972 / rank
 
Normal rank
Property / Symbols used: Q10972 / qualifier
 
test:

a 𝑎 {\displaystyle{\displaystyle a}}

a
Property / Symbols used: Q10972 / qualifier
 
xml-id: C2.S4.XMD11.m1bdec
Property / Symbols used
 
Property / Symbols used: Q10980 / rank
 
Normal rank
Property / Symbols used: Q10980 / qualifier
 
test:

b 𝑏 {\displaystyle{\displaystyle b}}

b
Property / Symbols used: Q10980 / qualifier
 
xml-id: C2.S4.XMD12.m1dec
Property / Symbols used
 
Property / Symbols used: Q10981 / rank
 
Normal rank
Property / Symbols used: Q10981 / qualifier
 
test:

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

p(t)
Property / Symbols used: Q10981 / qualifier
 
xml-id: C2.S4.XMD15.m1dec
Property / Symbols used
 
Property / Symbols used: Q10973 / rank
 
Normal rank
Property / Symbols used: Q10973 / qualifier
 
test:

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

q(t)
Property / Symbols used: Q10973 / qualifier
 
xml-id: C2.S4.XMD16.m1gdec

Latest revision as of 15:58, 1 January 2020

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English
DLMF:2.4.E10
No description defined

    Statements

    test
    I ⁢ ( z ) = ∫ a b e - z ⁢ p ⁢ ( t ) ⁢ q ⁢ ( t ) ⁢ d t , 𝐼 𝑧 superscript subscript 𝑎 𝑏 superscript 𝑒 𝑧 𝑝 𝑡 𝑞 𝑡 𝑡 {\displaystyle{\displaystyle I(z)=\int_{a}^{b}e^{-zp(t)}q(t)\mathrm{d}t,}}
    0 references
    DLMF id
    DLMF:2.4.E10
    0 references
    Symbols used
    Q10770
    test
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1afdec
    0 references
    base of natural logarithm
    test
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2ahdec
    0 references
    Q10771
    test
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3afdec
    0 references
    Q10972
    test
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C2.S4.XMD11.m1bdec
    0 references
    Q10980
    test
    b 𝑏 {\displaystyle{\displaystyle b}}
    xml-id
    C2.S4.XMD12.m1dec
    0 references
    Q10981
    test
    p ⁢ ( t ) 𝑝 𝑡 {\displaystyle{\displaystyle p(t)}}
    xml-id
    C2.S4.XMD15.m1dec
    0 references
    Q10973
    test
    q ⁢ ( t ) 𝑞 𝑡 {\displaystyle{\displaystyle q(t)}}
    xml-id
    C2.S4.XMD16.m1gdec
    0 references
     
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