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

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q10965 / rank
 
Normal rank
Property / Symbols used: Q10965 / qualifier
 
Defining formula:

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

Revision as of 16:54, 1 January 2020

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DLMF:2.3.E24
No description defined

    Statements

    Defining formula
    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
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1andec
    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.m3andec
    0 references
    Q10964
    Defining formula
    p ⁢ ( α , t ) 𝑝 𝛼 𝑡 {\displaystyle{\displaystyle p(\alpha,t)}}
    xml-id
    C2.S3.XMD28.m1dec
    0 references
    Q10965
    Defining formula
    q ⁢ ( α , t ) 𝑞 𝛼 𝑡 {\displaystyle{\displaystyle q(\alpha,t)}}
    xml-id
    C2.S3.XMD29.m1dec
    0 references
     
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