DLMF:2.3.E24 (Q743): Difference between revisions

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imported>Admin
 
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Property / Symbols defined
 
Property / Symbols defined: integral (locally) / rank
 
Normal rank
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.m1andec
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.m2aldec
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.m3andec
Property / Symbols used
 
Property / Symbols used: Q10964 / rank
 
Normal rank
Property / Symbols used: Q10964 / qualifier
 
test:

p ⁢ ( α , t ) 𝑝 𝛼 𝑡 {\displaystyle{\displaystyle p(\alpha,t)}}

p(\alpha,t)
Property / Symbols used: Q10964 / qualifier
 
xml-id: C2.S3.XMD28.m1dec
Property / Symbols used
 
Property / Symbols used: Q10965 / rank
 
Normal rank
Property / Symbols used: Q10965 / qualifier
 
test:

q ⁢ ( α , t ) 𝑞 𝛼 𝑡 {\displaystyle{\displaystyle q(\alpha,t)}}

q(\alpha,t)
Property / Symbols used: Q10965 / qualifier
 
xml-id: C2.S3.XMD29.m1dec
Property / Symbols used
 
Property / Symbols used: Q10950 / rank
 
Normal rank
Property / Symbols used: Q10950 / qualifier
 
test:

λ 𝜆 {\displaystyle{\displaystyle\lambda}}

\lambda
Property / Symbols used: Q10950 / qualifier
 
xml-id: C2.S3.XMD8.m1kdec

Latest revision as of 15:54, 1 January 2020

No description defined
Language Label Description Also known as
English
DLMF:2.3.E24
No description defined

    Statements

    test
    I ⁢ ( α , x ) = ∫ 0 k e - x ⁢ p ⁢ ( α , t ) ⁢ q ⁢ ( α , t ) ⁢ t λ - 1 ⁢ d t 𝐼 𝛼 𝑥 superscript subscript 0 𝑘 superscript 𝑒 𝑥 𝑝 𝛼 𝑡 𝑞 𝛼 𝑡 superscript 𝑡 𝜆 1 𝑡 {\displaystyle{\displaystyle I(\alpha,x)=\int_{0}^{k}e^{-xp(\alpha,t)}q(\alpha% ,t)t^{\lambda-1}\mathrm{d}t}}
    0 references
    DLMF id
    DLMF:2.3.E24
    0 references
    Symbols used
    Q10770
    test
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1andec
    0 references
    base of natural logarithm
    test
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2aldec
    0 references
    Q10771
    test
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3andec
    0 references
    Q10964
    test
    p ⁢ ( α , t ) 𝑝 𝛼 𝑡 {\displaystyle{\displaystyle p(\alpha,t)}}
    xml-id
    C2.S3.XMD28.m1dec
    0 references
    Q10965
    test
    q ⁢ ( α , t ) 𝑞 𝛼 𝑡 {\displaystyle{\displaystyle q(\alpha,t)}}
    xml-id
    C2.S3.XMD29.m1dec
    0 references
    Q10950
    test
    λ 𝜆 {\displaystyle{\displaystyle\lambda}}
    xml-id
    C2.S3.XMD8.m1kdec
    0 references
     
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